subject:(Lie Santilli admissible )

1. Nikolaidou, Pipina. Το αλγεβρικό συνεχές και διακριτό στην κατασκευή ερευνητικών εργαλείων και στην επεξεργασία δεδομένων για τις επιστήμες αγωγής.

Degree: 2017, Democritus University of Thrace (DUTH); Δημοκρίτειο Πανεπιστήμιο Θράκης (ΔΠΘ)

URL: http://hdl.handle.net/10442/hedi/40167

► Hyperstructures is a relatively new field in the area of Mathematics, given that only in 1934 Frederic Marty introduced this topic at the 8th Congress… (more)

▼ Hyperstructures is a relatively new field in the area of Mathematics, given that only in 1934 Frederic Marty introduced this topic at the 8th Congress of Scandenavian Mathematicians, with his paper: “Sur une generalisation de la notion de groupe”, where the first definition of the hypergroup was given.Subsequently, F. Marty published two more papers [78], [79] and at the same time, many mathematicians such as H. Wall [154], J. Kuntzmann [71], M. Dresher and O.Ore [47], L. Griffiths [53], J. Eaton [50] και M. Krasner [68], started working on this subject, publishing the first relevant papers. Different types of hypergroups were studied, like the 'regular' ones by Wall & Kuntzmann and the 'reversible' ones by Dresher & Ore.The hyperstructure theory is based on the classical theory of algebraic structures and therefore, just like in the classical theory there are numerous applications both in groups ομάδες [49], [118], [48], [56], [96], [84], [112], [113], [114], [115], [54], [55] as well as in algebra [36], [67], [68] geometry and binary relations [110], [107], [109].W. Prenowitz [91] was the first to work on the application of geometry on hyperstructures, initially alone and later in cooperation with J. Jantosciak, with whom he defined the Join Spaces [92], [93]. In their book “Join Geometries”, despite the fact that the word hypergroup was not mentioned, the so called 'Join Spaces' appeared as a category of Hyperstructures, which was then studied by dozens of researchers. One of the main features of the books main characteristic is that the authors tried to describe geometrical problems in an algebraic way.M. Krasner's contribution to the timelessness of the hyperstructures was crucial, as he and his students preserved the hyperstructures by working on this field for several years, and the progress of the hyperstructures is largely attributed to them. In the book 'Il mondo Krasneriano', [94] P. Ribenboim referred to the mathematical work of M. Krasner and how he started dealing with the hyperstructures. Some of the most influential figures in the field of hyperstructures, such as Stratigopoulos, Mittas and Koguetsof, were M Krasner's students.Krasner introduced the structure hyperfield, a structure where the addition is an operation and the multiplication is a hyperoperation. This fact 'obliged' the structure to have some basic properties, which led to the canonical hyperstructure, studied mainly by Mitta and continued by Corsini. P. Corsini's work on the hypergroups was initiated by Mitta's paper, 'Canonical hypergroups'. Because of the fact that the canonical hypergroup is a very 'close' structure, it led to numerous theorems and conclusions.The study of hyperstructures expanded beyond the hypergroups. M. Krasner introduced the hyperfield [69] and 10 years later he defined the hyperring, where the addition is a hyperoperation and the multiplication is an operation. A new definition of the hyperring, given by R. Rota many years later [95], renamed it multiplicative hyperring, in which, contrary to Krasner's…

Subjects/Keywords: Υπερδομές; Ράβδος; Lie-Santilli admissible υπεράλγεβρες; Hv-δομές; Hyperstructures; Bar; Lie-Santilli admissible hyperalgebras; Hv-structures

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Nikolaidou, P. (2017). Το αλγεβρικό συνεχές και διακριτό στην κατασκευή ερευνητικών εργαλείων και στην επεξεργασία δεδομένων για τις επιστήμες αγωγής. (Thesis). Democritus University of Thrace (DUTH); Δημοκρίτειο Πανεπιστήμιο Θράκης (ΔΠΘ). Retrieved from http://hdl.handle.net/10442/hedi/40167

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nikolaidou, Pipina. “Το αλγεβρικό συνεχές και διακριτό στην κατασκευή ερευνητικών εργαλείων και στην επεξεργασία δεδομένων για τις επιστήμες αγωγής.” 2017. Thesis, Democritus University of Thrace (DUTH); Δημοκρίτειο Πανεπιστήμιο Θράκης (ΔΠΘ). Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/40167.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nikolaidou, Pipina. “Το αλγεβρικό συνεχές και διακριτό στην κατασκευή ερευνητικών εργαλείων και στην επεξεργασία δεδομένων για τις επιστήμες αγωγής.” 2017. Web. 28 Feb 2021.

Vancouver:

Nikolaidou P. Το αλγεβρικό συνεχές και διακριτό στην κατασκευή ερευνητικών εργαλείων και στην επεξεργασία δεδομένων για τις επιστήμες αγωγής. [Internet] [Thesis]. Democritus University of Thrace (DUTH); Δημοκρίτειο Πανεπιστήμιο Θράκης (ΔΠΘ); 2017. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/40167.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nikolaidou P. Το αλγεβρικό συνεχές και διακριτό στην κατασκευή ερευνητικών εργαλείων και στην επεξεργασία δεδομένων για τις επιστήμες αγωγής. [Thesis]. Democritus University of Thrace (DUTH); Δημοκρίτειο Πανεπιστήμιο Θράκης (ΔΠΘ); 2017. Available from: http://hdl.handle.net/10442/hedi/40167

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Chopp, Mikaël. Lie-admissible structures on Witt type algebras and automorphic algebras : Structures Lie-admissibles sur les algèbres de type Witt et les algèbres automorphes.

Degree: Docteur es, Mathématiques, 2011, Metz; Université du Luxembourg

URL: http://www.theses.fr/2011METZ020S

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L’algèbre de Witt a été intensivement étudiée. Elle est présente dans de nombreux domaines des Mathématiques. Cette thèse est l’étude de deux généralisations de l’algèbre… (more)

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L’algèbre de Witt a été intensivement étudiée. Elle est présente dans de nombreux domaines des Mathématiques. Cette thèse est l’étude de deux généralisations de l’algèbre de Witt: les algèbres de type Witt et les algèbres de Krichever-Novikov. Dans une première partie on s’intéresse aux structures Lie-admissibles sur les algèbres de type Witt. On donne toutes les structures troisième-puissance associatives et flexibles Lie-admissibles sur ces algèbres. De plus, on étudie les formes symplectiques qui induisent un produit symétrique gauche. Dans une seconde partie on étudie les algèbres automorphes. Partant d’une surface de Riemann compacte quelconque, on considère l’action d’un sous-groupe fini du groupe des automorphismes de la surface sur des algèbres d’origines géométriques comme les algèbres de Krichever-Novikov. Plus précisément nous faisons le lien entre la sous-algèbre des éléments invariants sur la surface et l’algèbre sur la surface quotient. La structure presque-gradue des algèbres de Krichever-Novikov induit une presque-graduation sur ces sous-algèbres de certaines algèbres de Krichever- Novikov

The Witt algebra has been intensively studied and arise in many research fields in Mathematics. We are interested in two generalizations of the Witt algebra: the Witt type algebras and the Krichever-Novikov algebras. In a first part we study the problem of finding Lie-admissible structures on Witt type algebras. We give all third-power associative Lie-admissible structures and flexible Lie-admissible structures on these algebras. Moreover we study the symplectic forms which induce a graded left-symmetric product. In the second part of the thesis we study the automorphic algebras. Starting from arbitrary compact Riemann surfaces we consider the action of finite subgroups of the automorphism group of the surface on certain geometrically defined Lie algebras as the Krichever-Novikov type algebras. More precisely, we relate for G a finite subgroup of automorphism acting on the Riemann surface, the invariance subalgebras living on the surface to the algebras on the quotient surface under the group action. The almost-graded Krichever-Novikov algebras structure on the quotient gives in this way a subalgebra of a certain Krichever-Novikov algebra (with almost-grading) on the original Riemann surface

Advisors/Committee Members: Benayadi, Saïd (thesis director), Schlichenmaier, Martin (thesis director).

Subjects/Keywords: Lie-admissible; Algèbre de Witt; Algèbre flexible; Surface de Riemann

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Chopp, M. (2011). Lie-admissible structures on Witt type algebras and automorphic algebras : Structures Lie-admissibles sur les algèbres de type Witt et les algèbres automorphes. (Doctoral Dissertation). Metz; Université du Luxembourg. Retrieved from http://www.theses.fr/2011METZ020S

Chicago Manual of Style (16^th Edition):

Chopp, Mikaël. “Lie-admissible structures on Witt type algebras and automorphic algebras : Structures Lie-admissibles sur les algèbres de type Witt et les algèbres automorphes.” 2011. Doctoral Dissertation, Metz; Université du Luxembourg. Accessed February 28, 2021. http://www.theses.fr/2011METZ020S.

MLA Handbook (7^th Edition):

Chopp, Mikaël. “Lie-admissible structures on Witt type algebras and automorphic algebras : Structures Lie-admissibles sur les algèbres de type Witt et les algèbres automorphes.” 2011. Web. 28 Feb 2021.

Vancouver:

Chopp M. Lie-admissible structures on Witt type algebras and automorphic algebras : Structures Lie-admissibles sur les algèbres de type Witt et les algèbres automorphes. [Internet] [Doctoral dissertation]. Metz; Université du Luxembourg; 2011. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2011METZ020S.

Council of Science Editors:

Chopp M. Lie-admissible structures on Witt type algebras and automorphic algebras : Structures Lie-admissibles sur les algèbres de type Witt et les algèbres automorphes. [Doctoral Dissertation]. Metz; Université du Luxembourg; 2011. Available from: http://www.theses.fr/2011METZ020S

3. Duong, Minh thanh. A new invariant of quadratic lie algebras and quadratic lie superalgebras : Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques.

Degree: Docteur es, Mathématiques, 2011, Université de Bourgogne

URL: http://www.theses.fr/2011DIJOS021

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Dans cette thèse, nous définissons un nouvel invariant des algèbres de Lie quadratiques et des superalgèbres de Lie quadratiques et donnons une étude et classification… (more)

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Dans cette thèse, nous définissons un nouvel invariant des algèbres de Lie quadratiques et des superalgèbres de Lie quadratiques et donnons une étude et classification complète des algèbres de Lie quadratiques singulières et des superalgèbres de Lie quadratiques singulières, i.e. celles pour lesquelles l’invariant n’est pas nul. La classification est en relation avec les orbites adjointes des algèbres de Lie o(m) et sp(2n). Aussi, nous donnons une caractérisation isomorphe des algèbres de Lie quadratiques 2-nilpotentes et des superalgèbres de Lie quadratiques quasi-singulières pour le but d’exhaustivité. Nous étudions les algèbres de Jordan pseudoeuclidiennes qui sont obtenues des extensions doubles d’un espace vectoriel quadratique par une algèbre d’une dimension et les algèbres de Jordan pseudo-euclidienne 2-nilpotentes, de la même manière que cela a été fait pour les algèbres de Lie quadratiques singulières et des algèbres de Lie quadratiques 2-nilpotentes. Enfin, nous nous concentrons sur le cas d’une algèbre de Novikov symétrique et l’étudions à dimension 7.

In this thesis, we defind a new invariant of quadratic Lie algebras and quadratic Lie superalgebras and give a complete study and classification of singular quadratic Lie algebras and singular quadratic Lie superalgebras, i.e. those for which the invariant does not vanish. The classification is related to adjoint orbits of Lie algebras o(m) and sp(2n). Also, we give an isomorphic characterization of 2-step nilpotent quadratic Lie algebras and quasi-singular quadratic Lie superalgebras for the purpose of completeness. We study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra and 2-step nilpotent pseudo-Euclidean Jordan algebras, in the same manner as it was done for singular quadratic Lie algebras and 2-step nilpotent quadratic Lie algebras. Finally, we focus on the case of a symmetric Novikov algebra and study it up to dimension 7.

Advisors/Committee Members: Ushirobira, Rosane (thesis director), Pinczon, Georges (thesis director).

Subjects/Keywords: Pas de mot clé en français; Quadratic Lie algebras; Quadratic Lie superalgebras; Pseudo-Eucliean Jordan algebras; Symmetric Novikov algebras; Invariant; Adjoint orbits; Lie algebra o(m); Lie algebra sp(2n); Solvable Lie algebras; 2-step nilpotent; Double extensions; T*-extension; Generalized double extension; Jordan-admissible; 512

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Duong, M. t. (2011). A new invariant of quadratic lie algebras and quadratic lie superalgebras : Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques. (Doctoral Dissertation). Université de Bourgogne. Retrieved from http://www.theses.fr/2011DIJOS021

Chicago Manual of Style (16^th Edition):

Duong, Minh thanh. “A new invariant of quadratic lie algebras and quadratic lie superalgebras : Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques.” 2011. Doctoral Dissertation, Université de Bourgogne. Accessed February 28, 2021. http://www.theses.fr/2011DIJOS021.

MLA Handbook (7^th Edition):

Duong, Minh thanh. “A new invariant of quadratic lie algebras and quadratic lie superalgebras : Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques.” 2011. Web. 28 Feb 2021.

Vancouver:

Duong Mt. A new invariant of quadratic lie algebras and quadratic lie superalgebras : Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques. [Internet] [Doctoral dissertation]. Université de Bourgogne; 2011. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2011DIJOS021.

Council of Science Editors:

Duong Mt. A new invariant of quadratic lie algebras and quadratic lie superalgebras : Un nouvel invariant des algèbres de Lie et des super-algèbres de Lie quadratiques. [Doctoral Dissertation]. Université de Bourgogne; 2011. Available from: http://www.theses.fr/2011DIJOS021

Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

4. Πάνος, Σωτήριος. Lie Santilli άλγεβρες και εφαρμογές στην φυσική.

Degree: 1999, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

URL: http://hdl.handle.net/10442/hedi/24775

Subjects/Keywords: Γενετική δομή; Ισομονάδα; Ισοτοπικό στοιχείο; Ισοτοπικό σύνολο; Ισοομάδες; Ισοσώματα; Ισοδιανυσματικός χώρος; Ισοάλγεβρες; Άλγεβρες LIE; Άλγεβρα Lie Santilli; Ισοδιανυσματικός χώρος Τσ(λ,κ); Ισοανάλυση; Χώρος Isohilbert

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Πάνος, . �. (1999). Lie Santilli άλγεβρες και εφαρμογές στην φυσική. (Thesis). Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Retrieved from http://hdl.handle.net/10442/hedi/24775

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Πάνος, Σωτήριος. “Lie Santilli άλγεβρες και εφαρμογές στην φυσική.” 1999. Thesis, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/24775.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Πάνος, Σωτήριος. “Lie Santilli άλγεβρες και εφαρμογές στην φυσική.” 1999. Web. 28 Feb 2021.

Vancouver:

Πάνος �. Lie Santilli άλγεβρες και εφαρμογές στην φυσική. [Internet] [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 1999. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/24775.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Πάνος �. Lie Santilli άλγεβρες και εφαρμογές στην φυσική. [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 1999. Available from: http://hdl.handle.net/10442/hedi/24775

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

5. Βαβουγυιός, Διονύσιος. ΜΗ-ΚΑΝΟΝΙΚΟΙ ΑΝΑΡΜΟΝΙΚΟΙ ΤΑΛΝΤΩΤΕΣ ΣΤΗΝ LIE-ΑΠΟΔΕΚΤΗ ΘΕΩΡΙΑ.

Degree: 1989, Πανεπιστήμιο Πατρών; University of Patras

URL: http://hdl.handle.net/10442/hedi/0994

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IN THIS THESIS WE HAVE DEVELOPED A PERTURBATION METHOD SUITABLE FOR THE SOLUTION OF THE PROBLEM OF THE NON-CANONICAL ANHARMONIC OSCILLATOR, WITH THE HELP OF… (more)

Subjects/Keywords: LIE-ADMISSIBLE ROCK SPACE; LIE-ΑΠΟΔΕΚΤΗ ΔΟΜΗ; NON-CANONICAL OSCILLATORS; PERTURBATION; ΔΙΑΤΑΡΑΧΕΣ; ΜΗ ΚΑΝΟΝΙΚΟΙ ΤΑΛΑΝΤΩΤΕΣ

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Βαβουγυιός, �. (1989). ΜΗ-ΚΑΝΟΝΙΚΟΙ ΑΝΑΡΜΟΝΙΚΟΙ ΤΑΛΝΤΩΤΕΣ ΣΤΗΝ LIE-ΑΠΟΔΕΚΤΗ ΘΕΩΡΙΑ. (Thesis). Πανεπιστήμιο Πατρών; University of Patras. Retrieved from http://hdl.handle.net/10442/hedi/0994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Βαβουγυιός, Διονύσιος. “ΜΗ-ΚΑΝΟΝΙΚΟΙ ΑΝΑΡΜΟΝΙΚΟΙ ΤΑΛΝΤΩΤΕΣ ΣΤΗΝ LIE-ΑΠΟΔΕΚΤΗ ΘΕΩΡΙΑ.” 1989. Thesis, Πανεπιστήμιο Πατρών; University of Patras. Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/0994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Βαβουγυιός, Διονύσιος. “ΜΗ-ΚΑΝΟΝΙΚΟΙ ΑΝΑΡΜΟΝΙΚΟΙ ΤΑΛΝΤΩΤΕΣ ΣΤΗΝ LIE-ΑΠΟΔΕΚΤΗ ΘΕΩΡΙΑ.” 1989. Web. 28 Feb 2021.

Vancouver:

Βαβουγυιός �. ΜΗ-ΚΑΝΟΝΙΚΟΙ ΑΝΑΡΜΟΝΙΚΟΙ ΤΑΛΝΤΩΤΕΣ ΣΤΗΝ LIE-ΑΠΟΔΕΚΤΗ ΘΕΩΡΙΑ. [Internet] [Thesis]. Πανεπιστήμιο Πατρών; University of Patras; 1989. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/0994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Βαβουγυιός �. ΜΗ-ΚΑΝΟΝΙΚΟΙ ΑΝΑΡΜΟΝΙΚΟΙ ΤΑΛΝΤΩΤΕΣ ΣΤΗΝ LIE-ΑΠΟΔΕΚΤΗ ΘΕΩΡΙΑ. [Thesis]. Πανεπιστήμιο Πατρών; University of Patras; 1989. Available from: http://hdl.handle.net/10442/hedi/0994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

6. Κατσιάρης, Δημοσθένης. Επιδεκτές Lie άλγεβρες και εφαρμογές στη φυσική.

Degree: 1999, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

URL: http://hdl.handle.net/10442/hedi/24768

Subjects/Keywords: Γεννετική δομή; Ισοτοπικό του συνόλου S; Ισομονάδα; Τ ισοτοπικό στοιχείο αυτής της κατασκευής; Ισοομάδες; Ισομορφισμοί; Ισοϊομορφισμός; Ισοενδομορφισμός; Ισοδακτύλιος; Ισοσώματα; Ισομόδουλα; Ισοδιανυσματική χώρα; Ισοάλγεβρες; Ισοτοπική Lie άλγεβρα; Επιδεκτή Lie άλγεβρα; Είδη πιδεκτών ή Lie-Santilli αλγεβρών; Ισομορφικές lie άλγεβρες

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Κατσιάρης, . �. (1999). Επιδεκτές Lie άλγεβρες και εφαρμογές στη φυσική. (Thesis). Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Retrieved from http://hdl.handle.net/10442/hedi/24768

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Κατσιάρης, Δημοσθένης. “Επιδεκτές Lie άλγεβρες και εφαρμογές στη φυσική.” 1999. Thesis, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/24768.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Κατσιάρης, Δημοσθένης. “Επιδεκτές Lie άλγεβρες και εφαρμογές στη φυσική.” 1999. Web. 28 Feb 2021.

Vancouver:

Κατσιάρης �. Επιδεκτές Lie άλγεβρες και εφαρμογές στη φυσική. [Internet] [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 1999. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/24768.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Κατσιάρης �. Επιδεκτές Lie άλγεβρες και εφαρμογές στη φυσική. [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 1999. Available from: http://hdl.handle.net/10442/hedi/24768

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

7. Sadaka, Guilnard. Paires admissibles d'une algèbre de Lie simple complexe et W-algèbres finies : Admissible pairs of a complex simple Lie algebra and finite W-algebras.

Degree: Docteur es, Mathématiques et leurs applications, 2013, Poitiers

URL: http://www.theses.fr/2013POIT2309

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Soient g une algèbre de Lie simple complexe et e un élément nilpotent de g. Nous nous intéressons dans ce mémoire à la question (soulevée… (more)

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Soient g une algèbre de Lie simple complexe et e un élément nilpotent de g. Nous nous intéressons dans ce mémoire à la question (soulevée par Premet) d'isomorphisme entre les W-algèbres finies construites à partir de certaines sous-algèbres nilpotentes de g dites e-admissibles. Nous introduisons les notions de paire et graduation e-admissibles. Nous montrons ensuite que la W-algèbre associée à une paire e-admissible possède des propriétés similaires à celle introduite par Gan et Ginzburg. De plus, nous définissons une relation d'équivalence sur l'ensemble des paires admissibles. Nous montrons alors que si deux paires sont équivalentes, alors les W-algèbres associées sont isomorphes. Nous introduisons enfin les notions de graduation et paire admissibles b-maximales et nous montrons que les paires admissibles b-maximales sont équivalentes entre elles. Comme conséquence de ce résultat, nous retrouvons un résultat de Brundan et Goodwin sur les bonnes graduations. Dans une dernière partie, nous considérons des cas particuliers pour lesquels nous pouvons apporter une réponse complète à la question d'isomorphisme.

Let g be a complex simple Lie algebra and e a nilpotent element of g. We are interested to answer the isomorphism question (raised by Premet) between the finite W-algebras constructed from some nilpotent subalgebras of g called e-admissible. We introduce the concept of e-admissible pair and e-admissible grading. We show then that the W-algebra associated to an e-admissible pair admits similar properties to that introduced by Gan and Ginzburg. Moreover, we define an equivalence relation on the set of admissible pairs and we show that if two admissible pairs are equivalent, it follows that the associated W-algebras are isomorphic. We introduce later the concepts of b-maximal admissible pair and b-maximal admissible grading and show that b-maximal admissible pairs are equivalent. As a consequence to this result, we recover a result of Brundan and Goodwin on the good gradings. In a final part, we consider some particular cases where we may find a complete answer to the isomorphism question.

Advisors/Committee Members: Moreau, Anne (thesis director), Yu, Rupert Wei Tze (thesis director).

Subjects/Keywords: W-Algèbre finie; Paire admissible; Graduation admissible; Finite W-Algebra; Admissible pair; Admissible grading; 512.55

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sadaka, G. (2013). Paires admissibles d'une algèbre de Lie simple complexe et W-algèbres finies : Admissible pairs of a complex simple Lie algebra and finite W-algebras. (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2013POIT2309

Chicago Manual of Style (16^th Edition):

Sadaka, Guilnard. “Paires admissibles d'une algèbre de Lie simple complexe et W-algèbres finies : Admissible pairs of a complex simple Lie algebra and finite W-algebras.” 2013. Doctoral Dissertation, Poitiers. Accessed February 28, 2021. http://www.theses.fr/2013POIT2309.

MLA Handbook (7^th Edition):

Sadaka, Guilnard. “Paires admissibles d'une algèbre de Lie simple complexe et W-algèbres finies : Admissible pairs of a complex simple Lie algebra and finite W-algebras.” 2013. Web. 28 Feb 2021.

Vancouver:

Sadaka G. Paires admissibles d'une algèbre de Lie simple complexe et W-algèbres finies : Admissible pairs of a complex simple Lie algebra and finite W-algebras. [Internet] [Doctoral dissertation]. Poitiers; 2013. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2013POIT2309.

Council of Science Editors:

Sadaka G. Paires admissibles d'une algèbre de Lie simple complexe et W-algèbres finies : Admissible pairs of a complex simple Lie algebra and finite W-algebras. [Doctoral Dissertation]. Poitiers; 2013. Available from: http://www.theses.fr/2013POIT2309

8. ΣΚΑΛΤΣΑΣ, ΔΗΜΟΣΘΕΝΗΣ. Η ΚΒΑΝΤΟΜΗΧΑΝΙΚΗ ΜΕΤΡΗΣΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΩΤΕΡΕΣ ΘΕΩΡΙΕΣ.

Degree: 1993, Πανεπιστήμιο Πατρών; University of Patras

URL: http://hdl.handle.net/10442/hedi/2495

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ΓΙΝΕΤΑΙ ΕΙΔΙΚΗ ΕΙΣΑΓΩΓΗ ΣΤΟ ΘΕΜΑ ΤΗΣ ΚΒΑΝΤΟΜΗΧΑΝΙΚΗΣ ΜΕΤΡΗΣΗΣ ΜΕ ΤΟΠΟΘΕΤΗΣΗ ΤΟΥ ΖΗΤΗΜΑΤΟΣ ΚΑΙ ΠΑΡΑΘΕΣΗ ΤΩΝ ΠΡΟΤΑΘΕΙΣΩΝ ΛΥΣΕΩΝ ΤΟΥ. ΣΤΗ ΣΥΝΕΧΕΙΑ ΓΙΝΕΤΑΙ ΕΠΙΣΗΣ ΕΙΣΑΓΩΓΗ ΣΤΗ ΘΕΩΡΙΑ… (more)

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ΓΙΝΕΤΑΙ ΕΙΔΙΚΗ ΕΙΣΑΓΩΓΗ ΣΤΟ ΘΕΜΑ ΤΗΣ ΚΒΑΝΤΟΜΗΧΑΝΙΚΗΣ ΜΕΤΡΗΣΗΣ ΜΕ ΤΟΠΟΘΕΤΗΣΗ ΤΟΥ ΖΗΤΗΜΑΤΟΣ ΚΑΙ ΠΑΡΑΘΕΣΗ ΤΩΝ ΠΡΟΤΑΘΕΙΣΩΝ ΛΥΣΕΩΝ ΤΟΥ. ΣΤΗ ΣΥΝΕΧΕΙΑ ΓΙΝΕΤΑΙ ΕΠΙΣΗΣ ΕΙΣΑΓΩΓΗ ΣΤΗ ΘΕΩΡΙΑ ΤΩΝ ΑΝΟΙΧΤΩΝ ΚΒΑΝΤΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΣΤΗΝ LIE-ΕΠΙΔΕΚΤΗ ΘΕΩΡΙΑ. ΣΤΟ ΠΛΑΙΣΙΟ ΤΗΣ ΤΕΛΕΥΤΑΙΑΣ ΜΕΛΕΤΩΝΤΑΙ ΤΑ ΑΝΟΙΧΤΑ ΚΒΑΝΤΙΚΑ ΣΥΣΤΗΜΑΤΑ ΚΑΙ ΑΠΟΔΕΙΧΝΕΤΑΙ ΟΤΙ ΑΠΟΤΕΛΕΙ ΤΟ ΠΙΟ ΓΕΝΙΚΟ ΠΛΑΙΣΙΟ ΓΙΑ ΤΟΝ ΧΕΙΡΙΣΜΟ ΤΟΥΣ.ΤΟ ΠΡΟΒΛΗΜΑ ΤΗΣ ΚΒΑΝΤΟΜΗΧΑΝΙΚΗΣ ΜΕΤΡΗΣΗΣ ΕΠΙΣΗΣ ΜΕΛΕΤΑΤΑΙ ΣΤΟ ΠΛΑΙΣΙΟ ΤΗΣ LIE- ΕΠΙΔΕΚΤΗΣ ΘΕΩΡΙΑΣ, ΔΙΝΟΝΤΑΣ ΙΚΑΝΟΠΟΙΗΤΙΚΗ ΑΠΑΝΤΗΣΗ ΣΕ ΜΕΡΟΣ ΤΟΥ ΠΡΟΒΛΗΜΑΤΟΣ ΤΗΣ ΜΕΤΡΗΣΗΣ ΔΗΛΑΔΗ ΑΥΤΟΥ ΤΗΣ ΜΙΓΜΑΤΟΠΟΙΗΣΗΣ ΤΩΝ ΚΑΘΑΡΩΝ ΚΑΤΑΣΤΑΣΕΩΝ ΚΑΤΑ ΤΗΝ ΔΙΑΡΚΕΙΑ ΤΗΣ. ΤΕΛΟΣ Η LIE-ΕΠΙΔΕΚΤΗ VON NEUMANN ΕΞΙΣΩΣΗ ΑΠΟΔΕΙΧΝΕΤΑΙ Η ΠΙΟΓΕΝΙΚΗ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΑΥΤΟΥ ΤΟΥ ΕΙΔΟΥΣ.

THE QUANTUM MEASUREMENT PROBLEM AND THE CLOSELY RELATED PROBLEM OF THE OPEN QUANTUM SYSTEMS IN THE CONTEXT OF LIE-ADMISSIBLE THEORY IS STUDIED. IT IS PROVEDTHAT THIS THEORY PROVIDES AN IDEAL CONTEXT FOR THE TREATMENT OF THE OPEN QUANTUM SYSTEMS AND THE IRREVERSIBILITY. THE EXISTING EQUATIONS (DYNAMICAL) FOR THE DESCRIPTION OF THE OPEN QUANTUM SYSTEMS ACCEPT THE LIE-ADMISSIBLE FORM. AS FOR THE QUANTUM MEASUREMENT PROBLEM, WE CONSIDER THE MEASURED SYSTEM AS AN OPEN ONE AND THE APPARATUS AS THE EXTERNAL WORLD. THE TRANSFORMATIONS OF PURE STATES TO MIXTURES COMES FROM THE NONUNITARITY OF THE LIE- ADMISSIBLE VON NEUMANN EQUATIONS WHICH FURTHERMORE DISPLAYS AND UNIVERSAL CHARACTER.

Subjects/Keywords: LIE- ADMISSIBLE VON NEUMANN EQUATION; LIE-ADMISSIBLE THEORY; LIE-ΕΠΙΔΕΚΤΗ VON NEUMANN ΕΞΙΣΩΣΗ; LIE-ΕΠΙΔΕΚΤΗ ΘΕΩΡΙΑ; OPEN SYSTEMS - IRREVERSIBILITY; QUANTUM MEASUREMENT; TRANSFORMATION OF PURE STATES TO MIXTURES; UNIVERSALITY OF THE MODEL; ΑΝΟΙΧΤΑ ΣΥΣΤΗΜΑΤΑ - ΜΗ ΑΝΤΙΣΤΡΕΠΤΟΤΗΤΑ; ΚΒΑΝΤΙΚΗ ΜΕΤΡΗΣΗ; ΜΕΤΑΤΡΟΠΗ ΚΑΘΑΡΩΝ ΚΑΤΑΣΤΑΣΕΩΝ ΣΕ ΜΙΓΜΑΤΑ; ΠΑΓΚΟΣΜΙΟΤΗΤΑ ΜΟΝΤΕΛΟΥ

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

ΣΚΑΛΤΣΑΣ, �. (1993). Η ΚΒΑΝΤΟΜΗΧΑΝΙΚΗ ΜΕΤΡΗΣΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΩΤΕΡΕΣ ΘΕΩΡΙΕΣ. (Thesis). Πανεπιστήμιο Πατρών; University of Patras. Retrieved from http://hdl.handle.net/10442/hedi/2495

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

ΣΚΑΛΤΣΑΣ, ΔΗΜΟΣΘΕΝΗΣ. “Η ΚΒΑΝΤΟΜΗΧΑΝΙΚΗ ΜΕΤΡΗΣΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΩΤΕΡΕΣ ΘΕΩΡΙΕΣ.” 1993. Thesis, Πανεπιστήμιο Πατρών; University of Patras. Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/2495.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

ΣΚΑΛΤΣΑΣ, ΔΗΜΟΣΘΕΝΗΣ. “Η ΚΒΑΝΤΟΜΗΧΑΝΙΚΗ ΜΕΤΡΗΣΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΩΤΕΡΕΣ ΘΕΩΡΙΕΣ.” 1993. Web. 28 Feb 2021.

Vancouver:

ΣΚΑΛΤΣΑΣ �. Η ΚΒΑΝΤΟΜΗΧΑΝΙΚΗ ΜΕΤΡΗΣΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΩΤΕΡΕΣ ΘΕΩΡΙΕΣ. [Internet] [Thesis]. Πανεπιστήμιο Πατρών; University of Patras; 1993. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/2495.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

ΣΚΑΛΤΣΑΣ �. Η ΚΒΑΝΤΟΜΗΧΑΝΙΚΗ ΜΕΤΡΗΣΗ ΣΥΜΦΩΝΑ ΜΕ ΤΙΣ ΝΕΩΤΕΡΕΣ ΘΕΩΡΙΕΣ. [Thesis]. Πανεπιστήμιο Πατρών; University of Patras; 1993. Available from: http://hdl.handle.net/10442/hedi/2495

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

9. ΜΠΡΟΔΗΜΑΣ, ΓΕΩΡΓΙΟΣ. LIE-ΕΠΙΔΕΚΤΗ Q-ΑΛΓΕΒΡΑ ΚΑΙ ΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ.

Degree: 1991, University of Patras; Πανεπιστήμιο Πατρών

URL: http://hdl.handle.net/10442/hedi/1889

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THE COMMON ALGEBRAIC STRUCTURE BETWEEN THE OPERATORS OF QUANTUM GROUPS AND THOSE OF THE Q-MATHEMATICAL ANALYSIS IS REVEALED. THE CONCEPT OF THE Q-DERIVATIVE IS EXTENDED… (more)

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THE COMMON ALGEBRAIC STRUCTURE BETWEEN THE OPERATORS OF QUANTUM GROUPS AND THOSE OF THE Q-MATHEMATICAL ANALYSIS IS REVEALED. THE CONCEPT OF THE Q-DERIVATIVE IS EXTENDED TO THE CASE WITH TWO PARAMETERS AND THE GEOMETRIC INTERPRETATION IS GIVEN. WITH THE HELP OF Q-ANALYSIS VARIOUS DEFORMED OSCILLATORS ARE FOUND AS FUNCTIONS OF THE BOSE OPERATORS. THE EIGENVALUES OF ENERGY ARE FOUND AND THE CORRESPONDING QUANTUM GROUPS ARE CONSTRUCTED. THE SCALAR FACTOR Λ IS FOUND AND IT FOLLOWS THAT THE DEFORMATION OF THE ENERGY LEVELS STARTS FROM THE GROUND STATE. WITH A FOCK TRANSFORMATION WE ARE LED FROM THE COMMUTATION RELATIONS OF THE THEORY OF QUANTUM GROUPS TO THE NONCANONICAL COMMUTATION RELATION OF HEISENBERG AND VICE VERSA. IT IS ALSO REVEALED THAT THE COMMUTATION RELATIONS OF THE THEORY OF QUANTUM GROUPS IS A PARTIAL CASE OF THE LIE-ADMISSIBLE THEORY ON WHICH HADRONIC MECHANICS IS BASED. FINALLY THE LAW OF TIME EVOLUTION OF THE OPERATORS OF QUANTUM GROUPS IS FOUND.

ΔΙΑΠΙΣΤΩΝΕΤΑΙ Η ΚΟΙΝΗ ΑΛΓΕΒΡΙΚΗ ΔΟΜΗ ΜΕΤΑΞΥ ΤΩΝ ΤΕΛΕΣΤΩΝ ΤΩΝ ΚΒΑΝΤΙΚΩΝ ΟΜΑΔΩΝ ΚΑΙ ΑΥΤΩΝ ΤΗΣ Q-ΜΑΘΗΜΑΤΙΚΗΣ ΑΝΑΛΥΣΗΣ. ΕΠΕΚΤΕΙΝΕΤΑΙ Η ΕΝΝΟΙΑ ΤΗΣ Q-ΠΑΡΑΓΩΓΟΥ ΣΕ ΑΥΤΗΝ ΜΕ ΔΥΟ ΠΑΡΑΜΕΤΡΟΥΣ ΚΑΙ ΔΙΔΕΤΑΙ Η ΓΕΩΜΕΤΡΙΚΗ ΕΡΜΗΝΕΙΑ ΚΑΙ ΤΩΝ ΔΥΟ. ΜΕ ΤΗΝ ΒΟΗΘΕΙΑ ΤΗΣ Q-ΑΝΑΛΥΣΗΣ ΜΕΛΕΤΩΝΤΑΙ ΔΙΑΦΟΡΟΙ ΠΑΡΑΜΟΡΦΩΜΕΝΟΙ ΤΑΛΑΝΤΩΤΕΣ ΕΥΡΙΣΚΟΝΤΑΙΟΙ Q-ΑΝΑΛΥΣΗΣ ΜΕΛΕΤΩΝΤΑΙ ΔΙΑΦΟΡΟΙ ΠΑΡΑΜΟΡΦΩΜΕΝΟΙ ΤΑ ΕΥΡΙΣΚΟΝΤΑΙ ΟΙ ΕΚΦΡΑΣΕΙΣ ΤΩΝ ΤΕΛΕΣΤΩΝ BOSE, ΟΙ ΙΔΙΟΤΙΜΕΣ ΤΗΣ ΕΝΕΡΓΕΙΑΣ ΚΑΙ ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΟΙ ΑΝΤΙΣΤΟΙΧΕΣΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ. ΕΥΡΙΣΚΕΤΑΙ Ο ΒΑΘΜΩΤΟΣ ΠΑΡΑΓΩΝ Λ ΚΑΙ ΠΡΟΚΥΠΤΕΙ ΟΤΙ Η ΠΑΡΑΜΟΡΦΩΣΗ ΤΩΝ ΕΝΕΡΓΕΙΑΚΩΝ ΣΤΑΘΜΩΝ ΑΡΧΙΖΕΙ ΑΠΟ ΤΗΝ ΒΑΣΙΚΗ ΚΑΤΑΣΤΑΣΗ. ΜΕ ΜΕΤΑΣΧΗΜΑΤΙΣΜΟFOCK ΟΔΗΓΟΥΜΑΣΤΕ ΑΠΟ ΤΙΣ ΣΧΕΣΕΙΣ ΕΝΑΛΛΑΓΗΣ ΤΗΣ ΘΕΩΡΙΑΣ ΤΩΝ ΚΒΑΝΤΙΚΩΝ ΟΜΑΔΩΝ ΣΤΙΣ ΜΗ ΚΑΝΟΝΙΚΕΣ ΣΧΕΣΕΙΣ ΕΝΑΛΛΑΓΗΣ ΤΟΥ HEISENBERG ΚΑΙ ΑΝΤΙΣΤΡΟΦΑ. ΔΙΑΠΙΣΤΩΝΕΤΑΙ ΕΠΙΣΗΣ ΟΤΙ ΟΙ ΣΧΕΣΕΙΣ ΕΝΑΛΛΑΓΗΣ ΤΗΣ ΘΕΩΡΙΑΣ ΤΩΝ ΚΒΑΝΤΙΚΩΝ ΟΜΑΔΩΝ ΕΙΝΑΙ ΜΕΡΙΚΗ ΠΕΡΙΠΤΩΣΗ ΤΗΣ LIE-ΕΠΙΔΕΚΤΗΣ ΘΕΩΡΙΑΣ ΣΤΗΝ ΟΠΟΙΑ ΒΑΣΙΖΕΤΑΙ Η ΑΔΡΟΝΙΚΗ ΜΗΧΑΝΙΚΗ ΚΑΙΕΥΡΙΣΚΕΤΑΙ Ο ΧΡΟΝΙΚΗΣ ΕΞΕΛΙΞΗΣ ΤΩΝ ΤΕΛΕΣΤΩΝ ΤΩΝ ΚΒΑΝΤΙΚΩΝ ΟΜΑΔΩΝ.

Subjects/Keywords: LIE-ΕΠΙΔΕΚΤΗ; Q-ΑΛΓΕΒΡΑ; Q-ΑΝΑΛΥΣΗ; Q-ΜΗΧΑΝΙΚΗ; ΑΔΡΟΝΙΚΗ ΜΗΧΑΝΙΚΗ; Κβαντικές ομάδες; HADRONIC MECHANICS; LIE-ADMISSIBLE; Q-ALGEBRA; Q-ANALYSIS; Q-MECHANICS; QUANTUM GROUPS

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

ΜΠΡΟΔΗΜΑΣ, . �. (1991). LIE-ΕΠΙΔΕΚΤΗ Q-ΑΛΓΕΒΡΑ ΚΑΙ ΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ. (Thesis). University of Patras; Πανεπιστήμιο Πατρών. Retrieved from http://hdl.handle.net/10442/hedi/1889

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

ΜΠΡΟΔΗΜΑΣ, ΓΕΩΡΓΙΟΣ. “LIE-ΕΠΙΔΕΚΤΗ Q-ΑΛΓΕΒΡΑ ΚΑΙ ΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ.” 1991. Thesis, University of Patras; Πανεπιστήμιο Πατρών. Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/1889.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

ΜΠΡΟΔΗΜΑΣ, ΓΕΩΡΓΙΟΣ. “LIE-ΕΠΙΔΕΚΤΗ Q-ΑΛΓΕΒΡΑ ΚΑΙ ΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ.” 1991. Web. 28 Feb 2021.

Vancouver:

ΜΠΡΟΔΗΜΑΣ �. LIE-ΕΠΙΔΕΚΤΗ Q-ΑΛΓΕΒΡΑ ΚΑΙ ΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ. [Internet] [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 1991. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/1889.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

ΜΠΡΟΔΗΜΑΣ �. LIE-ΕΠΙΔΕΚΤΗ Q-ΑΛΓΕΒΡΑ ΚΑΙ ΚΒΑΝΤΙΚΕΣ ΟΜΑΔΕΣ. [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 1991. Available from: http://hdl.handle.net/10442/hedi/1889

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Oregon State University

10. Pereira, Clifford Brian. On admissibility among affine sets of linear estimators.

Degree: PhD, Statistics, 1985, Oregon State University

URL: http://hdl.handle.net/1957/40589

► We describe a general finite-dimensional inner product space setting for studying the characterization of admissible linear estimators. We extend the results of LaMotte (1982) and… (more)

Subjects/Keywords: Admissible sets

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pereira, C. B. (1985). On admissibility among affine sets of linear estimators. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/40589

Chicago Manual of Style (16^th Edition):

Pereira, Clifford Brian. “On admissibility among affine sets of linear estimators.” 1985. Doctoral Dissertation, Oregon State University. Accessed February 28, 2021. http://hdl.handle.net/1957/40589.

MLA Handbook (7^th Edition):

Pereira, Clifford Brian. “On admissibility among affine sets of linear estimators.” 1985. Web. 28 Feb 2021.

Vancouver:

Pereira CB. On admissibility among affine sets of linear estimators. [Internet] [Doctoral dissertation]. Oregon State University; 1985. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/1957/40589.

Council of Science Editors:

Pereira CB. On admissibility among affine sets of linear estimators. [Doctoral Dissertation]. Oregon State University; 1985. Available from: http://hdl.handle.net/1957/40589

11. ΜΠΑΣΚΟΥΤΑΣ, ΣΩΤΗΡΙΟΣ. ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ.

Degree: 1993, University of Patras; Πανεπιστήμιο Πατρών

URL: http://hdl.handle.net/10442/hedi/2511

►

IN THE PRESENT DISSERTATION IS STUDIED THE SCATTERING THEORY OF OPEN QUANTUM SYSTEMS AND ESPECIALLY THE QUANTUM TUNNELLING EFFECT WITH DISSIPATION IN THE FRAME OF… (more)

▼

IN THE PRESENT DISSERTATION IS STUDIED THE SCATTERING THEORY OF OPEN QUANTUM SYSTEMS AND ESPECIALLY THE QUANTUM TUNNELLING EFFECT WITH DISSIPATION IN THE FRAME OF THE LIE-ADMISSIBLE THEORY. IN THE FIRST CHAPTER IS PRESENTED BRIEFLYTHE LIE-ADMISSIBLE THEORY. IN THE SECOND CHAPTER IS DEVELOPED PRIMARILY THE WEI-NORMAN METHOD, FOR THE CALCULATION OF THE EVOLUTION OPERATOR AND THEN IS EXAMINED BRIEFLY THE LIE-ADMISSIBLE TIME-DEPENDENT SCATTERING THEORY. IN THETHIRD CHAPTER USING THE WEI-NORMAN METHOD AND THE MATRIX IMAGE METHOD IS STUDIED THE TIME EVOLUTION OF THE GENERALIZED PARAMETRIC OSCILLATOR. IN THE SEQUEL, THE SOLUTIONS OF THE LIE-ADMISSIBLE SCHRODINGER EQUATIONS FOR HAMILTONIANS OF TYPE CALDIROLA-KANAI, ARE GIVEN ANALYTICALLY. FINALLY IN THE FOURTH CHAPTER IS PRESENTED IN DETAIL THE QUANTUM TUNNELLING EFFECT WITH DISSIPATION AND IS SUGGESTED THE MODEL OF THE INVERTED C-K HAMILTONIAN. FOR THIS MODEL IS PROVED THE INHIBITION OF THE TUNNELLING PROCESS; EVENT THAT IS DIRECTLY ACCEPTABLE FROM EXPERIMENTAL MEASUREMENTS.

ΣΤΗΝ ΠΑΡΟΥΣΑ ΔΙΑΤΡΙΒΗ ΜΕΛΕΤΑΤΑΙ Η ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΤΩΝ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙΕΙΔΙΚΟΤΕΡΑ ΤΟ ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΑΣ ΜΕ ΑΠΩΛΕΙΕΣ ΣΥΜΦΩΝΑ ΜΕ TΗΝ LIE-ΕΠΙΔΕΚΤΗ ΘΕΩΡΙΑ. ΣΤΟ ΠΡΩΤΟ ΚΕΦΑΛΑΙΟ ΠΑΡΟΥΣΙΑΖΕΤΑΙ Η LIE-ΕΠΙΔΕΚΤΗ ΘΕΩΡΙΑ ΠΕΡΙΛΗΠΤΙΚΑ. ΣΤΟ ΔΕΥΤΕΡΟ ΚΕΦΑΛΑΙΟ ΑΝΑΠΤΥΣΣΕΤΑΙ Η ΜΕΘΟΔΟΣ WEI-NORMAN ΓΙΑ ΤΟΝ ΥΠΟΛΟΓΙΣΜΟ ΤΟΥ ΤΕΛΕΣΤΗ ΧΡΟΝΙΚΗΣ ΕΞΕΛΙΞΗΣ ΚΑΙ ΚΑΤΟΠΙΝ ΔΙΝΕΤΑΙ ΣΥΝΟΠΤΙΚΑ Η LIE-ΕΠΙΔΕΚΤΗΧΡΟΝΙΚΩΣ ΕΞΑΡΤΗΜΕΝΗ ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ. ΣΤΟ ΤΡΙΤΟ ΚΕΦΑΛΑΙΟ ΓΙΝΕΤΑΙ ΧΡΗΣΗ ΤΗΣ WEI-NORMAN ΜΕΘΟΔΟΥ ΚΑΘΩΣ ΚΑΙ ΤΗΣ ΜΕΘΟΔΟΥ ΤΗΣ ΕΙΚΟΝΑΣ ΤΟΥ ΠΙΝΑΚΑ (MATRIX IMAGE METHOD) ΜΕΛΕΤΩΝΤΑΣ ΤΗΝ ΧΡΟΝΙΚΗ ΕΞΕΛΙΞΗ ΤΟΥ ΓΕΝΙΚΕΥΜΕΝΟΥ ΠΑΡΑΜΕΤΡΙΚΟΥ ΤΑΛΑΝΤΩΤΗ. ΑΚΟΛΟΥΘΩΣ ΠΑΡΑΤΙΘΟΝΤΑΙ ΑΝΑΛΥΤΙΚΑ ΟΙ ΛΥΣΕΙΣ ΤΩΝ LIE- ΕΠΙΔΕΚΤΩΝ ΕΞΙΣΩΣΕΩΝ SCHRODINGER ΓΙΑ ΤΙΣ ΧΑΜΙΛΤΟΝΙΕΣ ΤΥΠΟΥ CALDIROLA- KANAI ΟΠΟΥ ΚΑΙ ΥΠΟΛΟΓΙΖΟΝΤΑΙ ΟΙ ΑΚΡΙΒΕΙΣ ΔΙΑΔΟΤΕΣ. ΤΕΛΟΣ ΣΤΟ ΤΕΤΑΡΤΟ ΚΕΦΑΛΑΙΟ ΠΑΡΟΥΣΙΑΖΕΤΑΙ ΑΝΑΛΥΤΙΚΑ ΤΟ ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΑΣ ΜΕ ΑΠΩΛΕΙΕΣ, ΟΠΟΥ ΚΑΙ ΠΡΟΤΕΙΝΕΤΑΙ ΤΟ ΜΟΝΤΕΛΟ ΤΗΣ ΑΝΤΙΣΤΡΟΦΗΣ C-K ΧΑΜΙΛΤΟΝΙΑΣ, ΔΙΑΠΙΣΤΩΝΟΝΤΑΣ ΤΗΝ ΠΑΡΕΜΠΟΔΙΣΗ ΤΗΣ ΕΞΕΛΙΞΗΣ ΤΟΥ ΦΑΙΝΟΜΕΝΟΥ, ΓΕΓΟΝΟΣ ΠΟΥ ΕΙΝΑΙ ΑΜΕΣΑ ΑΠΟΔΕΚΤΟ ΑΠΟ ΠΕΙΡΑΜΑΤΙΚΕΣ ΜΕΤΡΗΣΕΙΣ.

Subjects/Keywords: ΑΝΟΙΚΤΑ ΣΥΣΤΗΜΑΤΑ ΚΑΙ LIE-ΕΠΙΔΕΚΤΗ ΘΕΩΡΙΑ; ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΑΣ ΜΕ ΑΠΩΛΕΙΕΣ; ΧΡΟΝΙΚΩΣ ΕΞΑΡΤΗΜΕΝΗ ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ; OPEN SYSTEMS AND LIE-ADMISSIBLE THEORY; QUANTUM TUNNELLING EFFECT WITH DISSIPATION; TIME DEPENDENT SCATTERING THEORY

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

ΜΠΑΣΚΟΥΤΑΣ, . �. (1993). ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ. (Thesis). University of Patras; Πανεπιστήμιο Πατρών. Retrieved from http://hdl.handle.net/10442/hedi/2511

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

ΜΠΑΣΚΟΥΤΑΣ, ΣΩΤΗΡΙΟΣ. “ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ.” 1993. Thesis, University of Patras; Πανεπιστήμιο Πατρών. Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/2511.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

ΜΠΑΣΚΟΥΤΑΣ, ΣΩΤΗΡΙΟΣ. “ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ.” 1993. Web. 28 Feb 2021.

Vancouver:

ΜΠΑΣΚΟΥΤΑΣ �. ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ. [Internet] [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 1993. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/2511.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

ΜΠΑΣΚΟΥΤΑΣ �. ΘΕΩΡΙΑ ΣΚΕΔΑΣΕΩΣ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ. [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 1993. Available from: http://hdl.handle.net/10442/hedi/2511

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Debrecen

12. Luci, Andrea. Elemi Lie Elmélet .

Degree: DE – TEK – Természettudományi és Technológiai Kar – Matematikai Intézet, 2011, University of Debrecen

URL: http://hdl.handle.net/2437/105978

► A Lie elmélet, a Lie-csoportok és Lie-algebrák elmélete, valamint azok alkalmazásai, a matematika egy alapvető része. A második világháború óta nagyon sok kutatás zajlott a… (more)

▼ A Lie elmélet, a Lie-csoportok és Lie-algebrák elmélete, valamint azok alkalmazásai, a matematika egy alapvető része. A második világháború óta nagyon sok kutatás zajlott a matematika ezen területén. Azóta kiderült, hogy a Lie elmélet számos területet, köztük például a parciális differenciálást, a csoport és gyűrűelméletet, a számelméletet és a fizikát is érinti. Szakdolgozatomban néhány mátrix Lie-csoportot vizsgálok meg. Ezen csoportoknak fontos geometriai, és algebrai tulajdonságaik vannak. Egyik fontos jellemzőjük az, hogy a tér mozgáscsopotjait szemléltetik. Az (1.3)-as fejezetben láthatjuk például, hogy az SO(2) csoport elemei a sík origó körüli elforgatásait szemléltetik, ebből az következik, hogy az SO(2) csoport nem más, mint az origó központú egység sugarú kör, azaz S1. Az ortogonális csoportok mellett vizsgálom még az unitér csoportokat is, melyek érdekessége, hogy elemeik nem valós, hanem komplex elemű mátrixok. Valamint szemügyre veszem a szimplektikus csoportokat is, melyek érdekessége, hogy elemeik kvaternió elemű mátrixok. A Lie-csoportok eleminek és csoportműveleteinek elemzése után megkeresem azok egységelembeli érintő vektorait és érintő terét. Ez azért fontos, mert az exponenciális leképezés egy Lie-csoport egységelembeli érintő terét homomorf módon leképezi a Lie-csoportra. Tehát az exponenciális leképezés homomorfizmus a Lie-csoport és annak egységbeli érintő tere között. A Lie-csoport egység elemre vonatkozó érintő tere azonban nem csak az exponenciális leképezés miatt fontos. Egy Lie-csoport egységelembeli érintő tere vektorteret alkot az R felett. Értelmezzünk egy [U, V ] = UV − V U Lie zárójel műveletet ezen vektortér elemeire vonatkozóan. Ha ezen vektortér a műveletre nézve zárt, akkor a Lie-csoport egységelembeli érintő tere a rajta értelmezett Lie zárójel művelettel együtt, a Lie-csoport Lie-algebráját alkotja. Advisors/Committee Members: Kovács, Zoltán (advisor).

Subjects/Keywords: Lie; mátrixcsoport; Lie-csoport; Lie-algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Luci, A. (2011). Elemi Lie Elmélet . (Thesis). University of Debrecen. Retrieved from http://hdl.handle.net/2437/105978

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Luci, Andrea. “Elemi Lie Elmélet .” 2011. Thesis, University of Debrecen. Accessed February 28, 2021. http://hdl.handle.net/2437/105978.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Luci, Andrea. “Elemi Lie Elmélet .” 2011. Web. 28 Feb 2021.

Vancouver:

Luci A. Elemi Lie Elmélet . [Internet] [Thesis]. University of Debrecen; 2011. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/2437/105978.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Luci A. Elemi Lie Elmélet . [Thesis]. University of Debrecen; 2011. Available from: http://hdl.handle.net/2437/105978

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

13. Bartouli, Issam. Cohomologie et déformation des champs de vecteurs sur une variété de dimension 1 : Cohomology and deformation of vector fields on a variety of dimensions 1.

Degree: Docteur es, Mathématiques fondamentales, 2019, Université Paris-Saclay (ComUE); Université de Sfax (Tunisie)

URL: http://www.theses.fr/2019SACLE010

►

On considère la structure du Vect(R)-module sur les espaces des opérateurs différentiels bilinéaires agissant sur les espaces de densités. On calcule la première cohomologie différentielle… (more)

Subjects/Keywords: Algèbre de Lie; Lie Algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bartouli, I. (2019). Cohomologie et déformation des champs de vecteurs sur une variété de dimension 1 : Cohomology and deformation of vector fields on a variety of dimensions 1. (Doctoral Dissertation). Université Paris-Saclay (ComUE); Université de Sfax (Tunisie). Retrieved from http://www.theses.fr/2019SACLE010

Chicago Manual of Style (16^th Edition):

Bartouli, Issam. “Cohomologie et déformation des champs de vecteurs sur une variété de dimension 1 : Cohomology and deformation of vector fields on a variety of dimensions 1.” 2019. Doctoral Dissertation, Université Paris-Saclay (ComUE); Université de Sfax (Tunisie). Accessed February 28, 2021. http://www.theses.fr/2019SACLE010.

MLA Handbook (7^th Edition):

Bartouli, Issam. “Cohomologie et déformation des champs de vecteurs sur une variété de dimension 1 : Cohomology and deformation of vector fields on a variety of dimensions 1.” 2019. Web. 28 Feb 2021.

Vancouver:

Bartouli I. Cohomologie et déformation des champs de vecteurs sur une variété de dimension 1 : Cohomology and deformation of vector fields on a variety of dimensions 1. [Internet] [Doctoral dissertation]. Université Paris-Saclay (ComUE); Université de Sfax (Tunisie); 2019. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2019SACLE010.

Council of Science Editors:

Bartouli I. Cohomologie et déformation des champs de vecteurs sur une variété de dimension 1 : Cohomology and deformation of vector fields on a variety of dimensions 1. [Doctoral Dissertation]. Université Paris-Saclay (ComUE); Université de Sfax (Tunisie); 2019. Available from: http://www.theses.fr/2019SACLE010

University of Ghana

14. Dzikpor, D.N. Lie Groups, Lie Algebras and some applications in Physics .

Degree: 2019, University of Ghana

URL: http://ugspace.ug.edu.gh/handle/123456789/34762

► Given a Lie algebra g and its complexi_cation gC; the representations of gC are isomorphic to those of g. Moreover, if g is the corresponding… (more)

Subjects/Keywords: Lie Groups; Lie Algebras; Physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dzikpor, D. N. (2019). Lie Groups, Lie Algebras and some applications in Physics . (Masters Thesis). University of Ghana. Retrieved from http://ugspace.ug.edu.gh/handle/123456789/34762

Chicago Manual of Style (16^th Edition):

Dzikpor, D N. “Lie Groups, Lie Algebras and some applications in Physics .” 2019. Masters Thesis, University of Ghana. Accessed February 28, 2021. http://ugspace.ug.edu.gh/handle/123456789/34762.

MLA Handbook (7^th Edition):

Dzikpor, D N. “Lie Groups, Lie Algebras and some applications in Physics .” 2019. Web. 28 Feb 2021.

Vancouver:

Dzikpor DN. Lie Groups, Lie Algebras and some applications in Physics . [Internet] [Masters thesis]. University of Ghana; 2019. [cited 2021 Feb 28]. Available from: http://ugspace.ug.edu.gh/handle/123456789/34762.

Council of Science Editors:

Dzikpor DN. Lie Groups, Lie Algebras and some applications in Physics . [Masters Thesis]. University of Ghana; 2019. Available from: http://ugspace.ug.edu.gh/handle/123456789/34762

Utah State University

15. Graner, Nicholas. Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula.

Degree: MS, Mathematics and Statistics, 2018, Utah State University

URL: https://digitalcommons.usu.edu/etd/7232

► Lie Groups occur in math and physics as representations of continuous symmetries and are often described in terms of their Lie Algebra. This thesis… (more)

Subjects/Keywords: Lie groups; Lie algebras; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Graner, N. (2018). Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula. (Masters Thesis). Utah State University. Retrieved from https://digitalcommons.usu.edu/etd/7232

Chicago Manual of Style (16^th Edition):

Graner, Nicholas. “Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula.” 2018. Masters Thesis, Utah State University. Accessed February 28, 2021. https://digitalcommons.usu.edu/etd/7232.

MLA Handbook (7^th Edition):

Graner, Nicholas. “Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula.” 2018. Web. 28 Feb 2021.

Vancouver:

Graner N. Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula. [Internet] [Masters thesis]. Utah State University; 2018. [cited 2021 Feb 28]. Available from: https://digitalcommons.usu.edu/etd/7232.

Council of Science Editors:

Graner N. Canonical Coordinates on Lie Groups and the Baker Campbell Hausdorff Formula. [Masters Thesis]. Utah State University; 2018. Available from: https://digitalcommons.usu.edu/etd/7232

University of Aberdeen

16. Trigkas, Nikolaos. Challenging the presumption of reliability of social networking website evidence under US law.

Degree: PhD, 2019, University of Aberdeen

URL: https://abdn.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152482520005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816219

► Some voices of criticism concerning the considerable inconsistency in judges' decisions about the admissibility of social networking website (SNW) evidence have been raised, yet it… (more)

Subjects/Keywords: Social networks; Electronic evidence; Admissible evidence

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Trigkas, N. (2019). Challenging the presumption of reliability of social networking website evidence under US law. (Doctoral Dissertation). University of Aberdeen. Retrieved from https://abdn.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152482520005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816219

Chicago Manual of Style (16^th Edition):

Trigkas, Nikolaos. “Challenging the presumption of reliability of social networking website evidence under US law.” 2019. Doctoral Dissertation, University of Aberdeen. Accessed February 28, 2021. https://abdn.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152482520005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816219.

MLA Handbook (7^th Edition):

Trigkas, Nikolaos. “Challenging the presumption of reliability of social networking website evidence under US law.” 2019. Web. 28 Feb 2021.

Vancouver:

Trigkas N. Challenging the presumption of reliability of social networking website evidence under US law. [Internet] [Doctoral dissertation]. University of Aberdeen; 2019. [cited 2021 Feb 28]. Available from: https://abdn.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152482520005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816219.

Council of Science Editors:

Trigkas N. Challenging the presumption of reliability of social networking website evidence under US law. [Doctoral Dissertation]. University of Aberdeen; 2019. Available from: https://abdn.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152482520005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.816219

University of Alberta

17. Yahorau, Uladzimir. Conjugacy problems for "Cartan" subalgebras in infinite dimensional Lie algebras.

Degree: PhD, Department of Mathematical and Statistical Sciences, 2014, University of Alberta

URL: https://era.library.ualberta.ca/files/s1784m28s

► Chevalley's theorem on the conjugacy of split Cartan subalgebras is one of the cornerstones of the theory of simple finite dimensional Lie algebras over a… (more)

Subjects/Keywords: Lie algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Yahorau, U. (2014). Conjugacy problems for "Cartan" subalgebras in infinite dimensional Lie algebras. (Doctoral Dissertation). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/s1784m28s

Chicago Manual of Style (16^th Edition):

Yahorau, Uladzimir. “Conjugacy problems for "Cartan" subalgebras in infinite dimensional Lie algebras.” 2014. Doctoral Dissertation, University of Alberta. Accessed February 28, 2021. https://era.library.ualberta.ca/files/s1784m28s.

MLA Handbook (7^th Edition):

Yahorau, Uladzimir. “Conjugacy problems for "Cartan" subalgebras in infinite dimensional Lie algebras.” 2014. Web. 28 Feb 2021.

Vancouver:

Yahorau U. Conjugacy problems for "Cartan" subalgebras in infinite dimensional Lie algebras. [Internet] [Doctoral dissertation]. University of Alberta; 2014. [cited 2021 Feb 28]. Available from: https://era.library.ualberta.ca/files/s1784m28s.

Council of Science Editors:

Yahorau U. Conjugacy problems for "Cartan" subalgebras in infinite dimensional Lie algebras. [Doctoral Dissertation]. University of Alberta; 2014. Available from: https://era.library.ualberta.ca/files/s1784m28s

North-West University

18. Adem, Abdullahi Rashid. Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem.

Degree: 2013, North-West University

URL: http://hdl.handle.net/10394/16146

► In this work we study the applications of Lie symmetry analysis to certain nonlinear evolution equations of mathematical physics. Exact solutions and conservation laws are… (more)

▼ In this work we study the applications of Lie symmetry analysis to certain nonlinear evolution equations of mathematical physics. Exact solutions and conservation laws are obtained for such equations. The equations which are considered in this thesis are a generalized Korteweg-de Vries-Burgers equation, a two-dimensional integrable generalization of the Kaup-Kupershmidt equation, a coupled Korteweg-de Vries system, a generalized coupled variable-coefficient modified Korteweg-de Vries system, a new coupled Korteweg-de Vries system and a new coupled Kadomtsev-Petviashvili system. The generalized Korteweg-de Vries-Burgers equation is investigated from the point of view of Lie group classification. We show that this equation admits a four-dimensional equivalence Lie algebra. It is also shown that the principal Lie algebra consists of a single translation symmetry. Several possible extensions of the principal Lie algebra are computed and their associated symmetry reductions and exact solutions are obtained. The Lie symmetry method is performed on a two-dimensional integrable generalization of the Kaup-Kupershmidt equation. Exact solutions are obtained using the Lie symmetry method in conjunction with the extended tanh method and the extended Jacobi elliptic function method. In addition to exact solutions we also present conservation laws which are derived using the multiplier approach. A coupled Korteweg-de Vries system and a generalized coupled variable-coefficient modified Korteweg-de Vries system are investigated using Lie symmetry analysis. The similarity reductions and exact solutions with the aid of simplest equations and Jacobi elliptic function methods are obtained for the coupled Korteweg-de Vries system and the generalized coupled variable-coefficient modified Korteweg-de Vries system. In addition to this, the conservation laws for the two systems are derived using the multiplier approach and the conservation theorem due to Ibragimov. Finally, a new coupled Korteweg-de Vries system and a new coupled Kadomtsev Petviashvili system are analyzed using Lie symmetry method. Exact solutions are obtained using the Lie symmetry method in conjunction with the simplest equation, Jacobi elliptic function and (G'/G)-expansion methods. Conservation laws are also obtained for both the systems by employing the multiplier approach.

Subjects/Keywords: Lie groups

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APA (6^th Edition):

Adem, A. R. (2013). Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. (Thesis). North-West University. Retrieved from http://hdl.handle.net/10394/16146

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Adem, Abdullahi Rashid. “Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. ” 2013. Thesis, North-West University. Accessed February 28, 2021. http://hdl.handle.net/10394/16146.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Adem, Abdullahi Rashid. “Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. ” 2013. Web. 28 Feb 2021.

Vancouver:

Adem AR. Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. [Internet] [Thesis]. North-West University; 2013. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10394/16146.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Adem AR. Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. [Thesis]. North-West University; 2013. Available from: http://hdl.handle.net/10394/16146

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Esterhuizen, Willem. Sur les barrières des systèmes non linéaires sous contraintes avec une application aux systèmes hybrides : On Barriers in Constrained Nonlinear Systems with an Application to Hybrid Systems.

Degree: Docteur es, Mathématique et automatique, 2015, Paris, ENMP

URL: http://www.theses.fr/2015ENMP0061

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Cette thèse est consacrée à l'étude de la théorie des barrières pour les systèmes non linéaires sous contraintes d'entrées et d'état. La principale contribution concerne… (more)

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Cette thèse est consacrée à l'étude de la théorie des barrières pour les systèmes non linéaires sous contraintes d'entrées et d'état. La principale contribution concerne la généralisation au cas de contraintes mixtes, c'est-à-dire dépendant des entrées et de l'état de façon couplée. Ce type de contraintes apparaît souvent dans les applications et dans les systèmes différentiellement plats sous contraintes. On prouve un théorème du type principe du minimum qui permet de construire la barrière et l'ensemble admissible associé. De plus, dans le cas d'intersection de plusieurs trajectoires ainsi construites, on démontre que les points intersections transversaux sont des points d'arrêt de la barrière. Ces résultats sont utilisés pour calculer l'ensemble admissible d'un pendule inversé avec un câble non-rigide monté sur un chariot, la contrainte correspondant au fait que le câble reste tendu. Ce problème correspond en fait à la détermination de l'ensemble potentiellement sûr dans le cadre des systèmes hybrides.

This thesis deals with the theory of barriers in input and state constrained nonlinear systems. Our main contribution is a generalisation to the case where the constraints are mixed, that is they depend on both the input and the state in a coupled way. Constraints of this type often appear in applications, as well as in constrained flat systems. We prove a minimum-like principle that allows the construction of the barrier and the associated admissible set. Moreover, in case of intersection of some of the trajectories involved in this principle, we prove that such transversal intersection points are stopping points of the barrier.We demonstrate the utility of all the theoretical contributions by finding the admissible set for the inverted pendulum on a cart with a non-rigid cable, the constraint being that the cable remains taut. Note that this problem corresponds to the determination of potentially safe sets in hybrid systems.

Advisors/Committee Members: Lévine, Jean (thesis director).

Subjects/Keywords: Barrières; Systèmes non linéaires; Ensemble admissible; Barriers; Nonlinear systems; Admissible set; 003.7

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Esterhuizen, W. (2015). Sur les barrières des systèmes non linéaires sous contraintes avec une application aux systèmes hybrides : On Barriers in Constrained Nonlinear Systems with an Application to Hybrid Systems. (Doctoral Dissertation). Paris, ENMP. Retrieved from http://www.theses.fr/2015ENMP0061

Chicago Manual of Style (16^th Edition):

Esterhuizen, Willem. “Sur les barrières des systèmes non linéaires sous contraintes avec une application aux systèmes hybrides : On Barriers in Constrained Nonlinear Systems with an Application to Hybrid Systems.” 2015. Doctoral Dissertation, Paris, ENMP. Accessed February 28, 2021. http://www.theses.fr/2015ENMP0061.

MLA Handbook (7^th Edition):

Esterhuizen, Willem. “Sur les barrières des systèmes non linéaires sous contraintes avec une application aux systèmes hybrides : On Barriers in Constrained Nonlinear Systems with an Application to Hybrid Systems.” 2015. Web. 28 Feb 2021.

Vancouver:

Esterhuizen W. Sur les barrières des systèmes non linéaires sous contraintes avec une application aux systèmes hybrides : On Barriers in Constrained Nonlinear Systems with an Application to Hybrid Systems. [Internet] [Doctoral dissertation]. Paris, ENMP; 2015. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2015ENMP0061.

Council of Science Editors:

Esterhuizen W. Sur les barrières des systèmes non linéaires sous contraintes avec une application aux systèmes hybrides : On Barriers in Constrained Nonlinear Systems with an Application to Hybrid Systems. [Doctoral Dissertation]. Paris, ENMP; 2015. Available from: http://www.theses.fr/2015ENMP0061

20. Kouki, Sami. Étude des restrictions des séries discrètes de certains groupes résolubles et algébriques : On the restrictions of discrete series of certain algebraic solvable Lie groups.

Degree: Docteur es, Mathématiques et leurs interactions, 2014, Poitiers; Université de Tunis El Manar

URL: http://www.theses.fr/2014POIT2257

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Soit G un groupe de Lie résoluble connexe et H un de ses sous-groupes fermés connexes d'algèbres de Lie g et h respectivement. On note… (more)

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Soit G un groupe de Lie résoluble connexe et H un de ses sous-groupes fermés connexes d'algèbres de Lie g et h respectivement. On note g* (resp. h*) le dual linéaire de g (resp. h) ). Le sujet de ma thèse consiste à étudier la restriction d'une série discrète π de G, associée à une orbite coadjointe Ω C g*, à H. Si la restriction de π à H se décompose en somme directe de représentations de H avec multiplicités finies, on dit que π est H-admissible. Notons Pg,n : Ω → h* l'application restriction. Il s'agit de démontrer la conjecture suivante due à Michel Duflo : 1. La représentation π est H-admissible si et seulement si l'application moment Pg,n est propre sur l'image. 2. Si π est H-admissible, et si T est une série discrète de H alors sa multiplicité dans la restriction de π à H doit pouvoir se calculer en « quantifiant » l'espace réduit correspondant (qui est compact dans ce cas). Dans cette thèse, nous apportons une réponse positive à cette conjecture dans deux situations, à savoir :(i) Le groupe G est résoluble exponentiel. (ii) Le groupe G est le produit semi direct d'un tore compact par le groupe de Heisenberg et H est un sous-groupe algébrique connexe.

Let G be a connected solvable Lie group and H a closed connected subgroup with Lie algebra g and h respectively. We denote g* (resp. h*) the dual of g (resp. h). The aim of my thesis is to study the restriction of a discrete series π of G, associated with a coadjoint orbit Ω C g* to H. If the restriction of π to H can be decomposed in to a direct sum of representations of H with finite multiplicities, we say that π is H-admissible. Let Pg,n : Ω → h* denote the restriction map. My objective is to show the following conjecture due to Michel Duflo : 1. The representation π i s H-admissible if and only if the moment application Pg,n is proper on the image. 2. If π is H-admissible, and if T is a discrete series of H then it s multiplicity in the restriction of π to H must be calculated by « quantifying » the corresponding reduced space (that is compact in this case). In this thesis, we provide a positive response to this conjecture in two situations, namely when: (i) G is exponential solvable Lie group. (ii) G is the semi direct product of a compact torus and the Heisenberg group and H is a connected algebraic subgroup.

Advisors/Committee Members: Torasso, Pierre (thesis director), Khalgui, Mohamed Salah (thesis director).

Subjects/Keywords: Résoluble; Série discrète; Admissible; Propre; Espace réduit; Solvable; Discrete series; Admissible; Proper; Reduced space; 512.482

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kouki, S. (2014). Étude des restrictions des séries discrètes de certains groupes résolubles et algébriques : On the restrictions of discrete series of certain algebraic solvable Lie groups. (Doctoral Dissertation). Poitiers; Université de Tunis El Manar. Retrieved from http://www.theses.fr/2014POIT2257

Chicago Manual of Style (16^th Edition):

Kouki, Sami. “Étude des restrictions des séries discrètes de certains groupes résolubles et algébriques : On the restrictions of discrete series of certain algebraic solvable Lie groups.” 2014. Doctoral Dissertation, Poitiers; Université de Tunis El Manar. Accessed February 28, 2021. http://www.theses.fr/2014POIT2257.

MLA Handbook (7^th Edition):

Kouki, Sami. “Étude des restrictions des séries discrètes de certains groupes résolubles et algébriques : On the restrictions of discrete series of certain algebraic solvable Lie groups.” 2014. Web. 28 Feb 2021.

Vancouver:

Kouki S. Étude des restrictions des séries discrètes de certains groupes résolubles et algébriques : On the restrictions of discrete series of certain algebraic solvable Lie groups. [Internet] [Doctoral dissertation]. Poitiers; Université de Tunis El Manar; 2014. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2014POIT2257.

Council of Science Editors:

Kouki S. Étude des restrictions des séries discrètes de certains groupes résolubles et algébriques : On the restrictions of discrete series of certain algebraic solvable Lie groups. [Doctoral Dissertation]. Poitiers; Université de Tunis El Manar; 2014. Available from: http://www.theses.fr/2014POIT2257

21. Αγγελοπούλου, Πηνελόπη. ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ.

Degree: 1996, Πανεπιστήμιο Πατρών; University of Patras

URL: http://hdl.handle.net/10442/hedi/6605

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ΣΤΗΝ ΠΑΡΟΥΣΑ ΔΙΑΤΡΙΒΗ ΜΕΛΕΤΑΜΕ ΤΟΝ ΧΡΟΝΟ ΠΑΡΑΜΟΝΗΣ ΣΤΟ ΦΡΑΓΜΑ ΔΥΝΑΜΙΚΟΥ ΑΝΟΙΚΤΩΝ ΜΗ ΣΥΝΤΗΡΗΤΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ. ΟΙ ΧΑΜΙΛΤΟΝΙΕΣ ΠΟΥ ΠΕΡΙΓΡΑΦΟΥΝ ΤΑ ΣΥΣΤΗΜΑΤΑ ΓΕΝΙΚΕΥΜΕΝΩΝ ΠΑΡΑΜΕΤΡΙΚΩΝ ΤΑΛΑΝΤΩΤΩΝ ΕΙΝΑΙ ΜΗ… (more)

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ΣΤΗΝ ΠΑΡΟΥΣΑ ΔΙΑΤΡΙΒΗ ΜΕΛΕΤΑΜΕ ΤΟΝ ΧΡΟΝΟ ΠΑΡΑΜΟΝΗΣ ΣΤΟ ΦΡΑΓΜΑ ΔΥΝΑΜΙΚΟΥ ΑΝΟΙΚΤΩΝ ΜΗ ΣΥΝΤΗΡΗΤΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ. ΟΙ ΧΑΜΙΛΤΟΝΙΕΣ ΠΟΥ ΠΕΡΙΓΡΑΦΟΥΝ ΤΑ ΣΥΣΤΗΜΑΤΑ ΓΕΝΙΚΕΥΜΕΝΩΝ ΠΑΡΑΜΕΤΡΙΚΩΝ ΤΑΛΑΝΤΩΤΩΝ ΕΙΝΑΙ ΜΗ ΕΡΜΗΤΙΑΝΕΣ ΚΑΙ ΜΠΟΡΟΥΝ ΝΑ ΓΡΑΦΟΥΝ ΩΣ ΓΙΝΟΜΕΝΟ ΤΩΝ ΓΕΝΝΗΤΟΡΩΝ ΤΗΣ SU(1,1) ΑΛΓΕΒΡΑΣ. ΧΡΗΣΙΜΟΠΟΙΩΝΤΑΣ ΤΗ ΜΕΘΟΔΟ WEI-NORMAN ΒΡΙΣΚΟΥΜΕ ΤΟΥΣ ΤΕΛΕΣΤΕΣ ΧΡΟΝΙΚΗΣ ΕΞΕΛΙΞΗΣ ΟΙ ΟΠΟΙΟΙ ΕΙΝΑΙ ΜΗ ΜΟΝΑΔΙΑΙΟΙ. ΜΕΣΩ ΤΩΝ ΟΡΙΣΜΩΝ ΠΙΘΑΝΟΤΗΤΑΣ ΠΑΡΑΜΟΝΗΣ ΥΠΟΛΟΓΙΖΟΥΜΕ ΤΟ ΧΡΟΝΟ ΠΑΡΑΜΟΝΗΣ. ΟΙ ΟΡΙΣΜΟΙ ΠΟΥ ΔΙΝΟΝΤΑΙ ΕΙΝΑΙ ΤΡΕΙΣ ΚΑΙ ΑΝΤΙΣΤΟΙΧΑ ΥΠΟΛΟΓΙΖΟΥΜΕ ΤΡΕΙΣ ΧΡΟΝΟΥΣΠΑΡΑΜΟΝΗΣ, ΔΥΟ ΠΡΑΓΜΑΤΙΚΟΥΣ ΚΑΙ ΕΝΑΝ ΜΙΓΑΔΙΚΟ. ΘΕΩΡΗΣΑΜΕ ΟΤΙ ΜΙΑ ΠΙΘΑΝΗ ΑΝΑΠΑΡΑΣΤΑΣΗ ΤΟΥ ΜΙΓΑΔΙΚΟΥ ΧΡΟΝΟΥ ΓΙΑ ΤΟ ΜΕΝ ΠΡΑΓΜΑΤΙΚΟ ΜΕΡΟΣ ΣΕ ΕΝΑΝ ΚΑΘΑΡΑ ΧΡΟΝΟ ΣΗΡΑΓΓΑΣ ΕΝΩ ΓΙΑ ΤΟ ΦΑΝΤΑΣΤΙΚΟ ΣΤΗΝ ΑΛΛΗΛΕΠΙΔΡΑΣΗ ΜΕ ΤΟ ΠΕΡΙΒΑΛΛΟΝ. ΑΝΑΦΕΡΘΗΚΑΜΕ ΣΕ ΔΥΟ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ ΠΟΥ ΛΟΓΩ ΤΗΣ ΦΥΣΗΣ ΤΟΥΣ ΕΙΝΑΙ ΑΝΟΙΚΤΑ. ΕΞΕΤΑΣΤΗΚΕ ΤΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΣΤΟ ΠΡΩΤΕΙΝΙΚΟ ΚΑΝΑΛΙ ΝΑΤΡΙΟΥ ΜΕΤΑΞΥ ΑΝΟΙΚΤΩΝ ΚΑΙΚΛΕΙΣΤΩΝ ΚΑΤΑΣΤΑΣΕΩΝ ΤΗΣ ΠΥΛΗΣ. ΠΡΟΤΕΙΝΟΥΜΕ ΝΑ ΜΕΛΕΤΗΘΕΙ ΑΥΤΟ ΜΕ ΤΟ INVERTED CALDIROLA-KANAI ΜΟΝΤΕΛΟ. ΤΕΛΟΣ ΜΕΛΕΤΗΘΗΚΕ Η ΑΝΑΠΤΥΞΗ ΤΩΝ ΘΑΛΑΣΣΙΩΝ ΚΟΓΧΥΛΙΩΝ ΜΕ ΤΗΝ LIE-ADMISSIBLE ΘΕΩΡΙΑ ΟΠΟΥ Η ΑΝΑΠΤΥΞΗ ΚΑΙ Η ΓΕΩΜΕΤΡΙΑ ΤΩΝ ΚΕΛΥΦΩΝ ΤΟΥΣ ΕΡΜΗΝΕΥΕΤΑΙ ΜΕ ΤΗΝ ΑΝΤΙΣΤΡΟΦΗ ΤΗΣ ΚΑΤΕΥΘΥΝΣΗΣ ΤΟΥ ΧΡΟΝΟΥ ΣΤΙΣ ΔΙΑΚΛΑΔΩΣΕΙΣ.

IN THE PRESENT WORK WE STUDY THE SOJOURN TIME OF NON CONSERVATIVE SYSTEMS. THE HAMILTONIANS WHICH DESCRIBE GENERALIZED PARAMETRIC OSCILLATORS ARE NON HERMITION AND THEY CAN BE WRITTEN AS A PRODUCT OF GENERATORS OF SU(1,1) ALGEBRA. USING THE WEI NORMAN METHOD WE CAN FIND THE TIME EVOLUTION OPERATORS WHICH ARE NON UNITARY. WE CALCULATE THE SOJOURN TIME BY USING THE DEFINITION OF PERSISTENCE PROBABILITY. THE DEFINITIONS ARE THREE AND CONSENQUENTLY WE CALCULATE THREE TIMES, TWO REALS AND ONE COMPLEX. WE CONSIDER THAT IT IS POSSIBLE THAT THE REAL PART OF COMPLEX TIME CORRESPONDS TO THE REAL TIME OF SYSTEM'S PERSISTENCE IN THE REGION OF BARRIER AND THAT THE IMAGINARY PART CORRESPONDS TO THE TIME INTERACTION WITH THE SURROUNDING. WE REFER TO BIOLOGICAL SYSTEMS WHICH ARE OPEN BECAUSE OF THEIR NATURE. WE EXAMINE THE TUNNELING EFFECT WHICH APPEARSIN THE SODIUM CHANNEL OF PROTEIN BETWEEN OPEN AND CLOSE STATES OF GATE. WE SUGGEST TO STUDY THIS ACCORDING TO INVERTED CALDIROLA KANAI MODEL. AT LAST WE MENTION THE EXAMPLE OF GROWTH SEA SHELLS WHICH IS STUDY WITH LIE ADMISSIBLE THEORY.THE GROWTH AND THE GEOMETRY ARE INTERPRETED WITH THE REVERSAL OF TIME ARROW IN THE BIFURCATIONS.

Subjects/Keywords: CALDIROLA-KANAI HAMILTONIAN; LIE-ADMISSIBLE THEORY; MACROSCOPIC QUANTUM THEORY; NON-HERMITION HAMILTONIAN; SOJOURN TIME; Ανοικτό σύστημα; ΑΝΤΙΣΤΡΟΦΗ ΔΙΕΥΘΥΝΣΗΣ ΧΡΟΝΟΥ; ΜΙΓΑΔΙΚΟΣ ΧΡΟΝΟΣ ΠΑΡΑΜΟΝΗΣ; Πιθανότητα; ΠΙΘΑΝΟΤΗΤΑ ΠΑΡΑΜΟΝΗΣ; ΠΡΩΤΕΙΝΙΚΟ ΚΑΝΑΛΙ ΝΑΤΡΙΟΥ; Φαινόμενο σήραγγας

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Αγγελοπούλου, �. (1996). ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ. (Thesis). Πανεπιστήμιο Πατρών; University of Patras. Retrieved from http://hdl.handle.net/10442/hedi/6605

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Αγγελοπούλου, Πηνελόπη. “ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ.” 1996. Thesis, Πανεπιστήμιο Πατρών; University of Patras. Accessed February 28, 2021. http://hdl.handle.net/10442/hedi/6605.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Αγγελοπούλου, Πηνελόπη. “ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ.” 1996. Web. 28 Feb 2021.

Vancouver:

Αγγελοπούλου �. ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ. [Internet] [Thesis]. Πανεπιστήμιο Πατρών; University of Patras; 1996. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10442/hedi/6605.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Αγγελοπούλου �. ΚΒΑΝΤΙΚΟ ΦΑΙΝΟΜΕΝΟ ΣΗΡΑΓΓΟΣ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΒΙΟΛΟΓΙΚΑ ΣΥΣΤΗΜΑΤΑ. [Thesis]. Πανεπιστήμιο Πατρών; University of Patras; 1996. Available from: http://hdl.handle.net/10442/hedi/6605

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Oxford

22. Calvert, Kieran. Variants of Schur-Weyl duality and Dirac cohomology.

Degree: PhD, 2019, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:29e57863-76c7-4f1d-83e2-fa5080a44824 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.786251

► This thesis is divided into the following three parts. Chapter 1: Realising the projective representations of Sn We derive an explicit description of the genuine… (more)

▼ This thesis is divided into the following three parts. Chapter 1: Realising the projective representations of Sn We derive an explicit description of the genuine projective representations of the symmetric group S_n using Dirac cohomology and the branching graph for the irreducible genuine projective representations of S_n. In [15] Ciubotaru and He, using the extended Dirac index, showed that the characters of the projective representations of S_n are related to the characters of elliptic graded modules. We derive the branching graph using Dirac theory and combinatorics relating to the cohomology of Borel varieties B_e of g. We use Dirac cohomology to construct an explicit model for the projective representations. We also describe Vogan's morphism for Hecke algebras in type A using spectrum data of the Jucys-Murphy elements. Chapter 2: Dirac cohomology of the Dunkl-Opdam subalgebra We define a new presentation for the Dunkl-Opdam subalgebra of the rational Cherednik algebra. This presentation uncovers the Dunkl-Opdam subalgebra as a Drinfeld algebra. The Dunkl-Opdam subalgebra is the first natural occurrence of a non-faithful Drinfeld algebra. We use this fact to define Dirac cohomology for the DO subalgebra. We formalise generalised graded Hecke algebras and extend a Langlands classification to generalised graded Hecke algebras. We then describe an equivalence between the irreducibles of the Dunkl-Opdam subalgebra and direct sums of graded Hecke algebras of type A. This equivalence commutes with taking Dirac cohomology. Chapter 3: Functors relating nonspherical principal series We define an extension of the affine Brauer algebra called the type B/C affine Brauer algebra. This new algebra contains the hyperoctahedral group, and it naturally acts on End_K(X ⊗ V ^⊗k). We study functors F_μ,k from the category of admissible O(p; q) or Sp_2n(R) modules to representations of the type B/C affine Brauer algebra. Furthermore, these functors take non-spherical principal series modules to principal series modules for the graded Hecke algebra of type D_k, C_n-k or B_n-k.

Subjects/Keywords: Lie Groups; Lie algebras; Representations of groups

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APA (6^th Edition):

Calvert, K. (2019). Variants of Schur-Weyl duality and Dirac cohomology. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:29e57863-76c7-4f1d-83e2-fa5080a44824 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.786251

Chicago Manual of Style (16^th Edition):

Calvert, Kieran. “Variants of Schur-Weyl duality and Dirac cohomology.” 2019. Doctoral Dissertation, University of Oxford. Accessed February 28, 2021. http://ora.ox.ac.uk/objects/uuid:29e57863-76c7-4f1d-83e2-fa5080a44824 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.786251.

MLA Handbook (7^th Edition):

Calvert, Kieran. “Variants of Schur-Weyl duality and Dirac cohomology.” 2019. Web. 28 Feb 2021.

Vancouver:

Calvert K. Variants of Schur-Weyl duality and Dirac cohomology. [Internet] [Doctoral dissertation]. University of Oxford; 2019. [cited 2021 Feb 28]. Available from: http://ora.ox.ac.uk/objects/uuid:29e57863-76c7-4f1d-83e2-fa5080a44824 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.786251.

Council of Science Editors:

Calvert K. Variants of Schur-Weyl duality and Dirac cohomology. [Doctoral Dissertation]. University of Oxford; 2019. Available from: http://ora.ox.ac.uk/objects/uuid:29e57863-76c7-4f1d-83e2-fa5080a44824 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.786251

Latrobe University

23. Hinic Galic, Ana. Lie algebraic methods in the Riemannian geometry of nilpotent lie groups.

Degree: PhD, 2012, Latrobe University

URL: http://hdl.handle.net/1959.9/512945

►

Thesis (Ph.D.) - La Trobe University, 2012

Submission note: "A thesis submitted in total fulfilment of the requirements for the degree of Doctor of Philosophy… (more)

Subjects/Keywords: Lie algebras.; Geometry, Riemannian.; Nilpotent Lie groups.

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APA (6^th Edition):

Hinic Galic, A. (2012). Lie algebraic methods in the Riemannian geometry of nilpotent lie groups. (Doctoral Dissertation). Latrobe University. Retrieved from http://hdl.handle.net/1959.9/512945

Chicago Manual of Style (16^th Edition):

Hinic Galic, Ana. “Lie algebraic methods in the Riemannian geometry of nilpotent lie groups.” 2012. Doctoral Dissertation, Latrobe University. Accessed February 28, 2021. http://hdl.handle.net/1959.9/512945.

MLA Handbook (7^th Edition):

Hinic Galic, Ana. “Lie algebraic methods in the Riemannian geometry of nilpotent lie groups.” 2012. Web. 28 Feb 2021.

Vancouver:

Hinic Galic A. Lie algebraic methods in the Riemannian geometry of nilpotent lie groups. [Internet] [Doctoral dissertation]. Latrobe University; 2012. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/1959.9/512945.

Council of Science Editors:

Hinic Galic A. Lie algebraic methods in the Riemannian geometry of nilpotent lie groups. [Doctoral Dissertation]. Latrobe University; 2012. Available from: http://hdl.handle.net/1959.9/512945

24. Muthiah, Dinakar. Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics.

Degree: PhD, Mathematics, 2013, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:320617/

► The theory of Mirkovic-Vilonen (MV) cycles and polytopes associated to a complex reductive group G has proven to be a rich source of structures related… (more)

▼ The theory of Mirkovic-Vilonen (MV) cycles and polytopes associated to a complex reductive group G has proven to be a rich source of structures related to representation theory. MV polytopes have proven to be a useful tool in understanding and unifying many constructions of crystals for finite-type Kac-Moody algebras. These polytopes arise naturally in many places, including the affine Grassmannian, pre-projective algebras, PBW bases, and KLR algebras. This thesis is part of an ongoing program to extend this theory to the affine Kac-Moody algebras In the first part of this thesis, we investigate double MV cycles, which are analogues of MV cycles in the case of an affine Kac-Moody group. We prove an explicit formula for the Braverman-Finkelberg-Gaitsgory crystal structure on double MV cycles, generalizing a finite-dimensional result of Baumann and Gaussent. As an application, we give a geometric construction of the Naito-Sagaki-Saito crystal via the action of affine SL_n on Fermionic Fock space. In particular, this construction gives rise to an isomorphism of crystals between the set of double MV cycles and the Naito-Sagaki-Saito crystal. As a result, we can independently prove that the Naito-Sagaki-Saito crystal is the B-infinity crystal. In particular, our geometric proof works in the previously unknown case of affine SL_2. In the second part of this thesis, which is joint work with Peter Tingley, we investigate the recently proposed notions of affine MV polytopes. A definition of MV polytopes in symmetric affine cases has been proposed using pre-projective algebras. In the rank-2 affine cases, a combinatorial definition has also been proposed. Additionally, the theory of PBW bases has been extended to affine cases, and, at least in rank-2, we show that this can also be used to define MV polytopes. The main result of this paper is that these three notions of MV polytope all agree in the relevant rank-2 cases. As a corollary, we can give a complete combinatorial characterization of the affine MV polytopes arising from pre-projective algebras. Our main tool is a new characterization of rank-2 affine MV polytopes. Advisors/Committee Members: Braverman, Alexander (Director), Abramovich, Dan (Reader), Harris, Bruno (Reader).

Subjects/Keywords: affine Lie algebras

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APA (6^th Edition):

Muthiah, D. (2013). Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:320617/

Chicago Manual of Style (16^th Edition):

Muthiah, Dinakar. “Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics.” 2013. Doctoral Dissertation, Brown University. Accessed February 28, 2021. https://repository.library.brown.edu/studio/item/bdr:320617/.

MLA Handbook (7^th Edition):

Muthiah, Dinakar. “Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics.” 2013. Web. 28 Feb 2021.

Vancouver:

Muthiah D. Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics. [Internet] [Doctoral dissertation]. Brown University; 2013. [cited 2021 Feb 28]. Available from: https://repository.library.brown.edu/studio/item/bdr:320617/.

Council of Science Editors:

Muthiah D. Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics. [Doctoral Dissertation]. Brown University; 2013. Available from: https://repository.library.brown.edu/studio/item/bdr:320617/

University of Debrecen

25. Ardai, Tímea. Nemasszociatív algebrák és geometriájuk .

Degree: DE – TEK – Természettudományi és Technológiai Kar – Matematikai Intézet, 2011, University of Debrecen

URL: http://hdl.handle.net/2437/103697

► A differenciálgeometriában fontos szerepet játszó G/H homogén tereket a (g,h,m) hármasokra adott feltételekkel adhatjuk meg, ahol G egy összefüggő Lie csoport és H zárt, összefüggő… (more)

Subjects/Keywords: loopok; Lie-algebra

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APA (6^th Edition):

Ardai, T. (2011). Nemasszociatív algebrák és geometriájuk . (Thesis). University of Debrecen. Retrieved from http://hdl.handle.net/2437/103697

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ardai, Tímea. “Nemasszociatív algebrák és geometriájuk .” 2011. Thesis, University of Debrecen. Accessed February 28, 2021. http://hdl.handle.net/2437/103697.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ardai, Tímea. “Nemasszociatív algebrák és geometriájuk .” 2011. Web. 28 Feb 2021.

Vancouver:

Ardai T. Nemasszociatív algebrák és geometriájuk . [Internet] [Thesis]. University of Debrecen; 2011. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/2437/103697.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ardai T. Nemasszociatív algebrák és geometriájuk . [Thesis]. University of Debrecen; 2011. Available from: http://hdl.handle.net/2437/103697

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

26. Quesada Llanto, Julio Christian. Algebra de Lie de un grupo de trenza pura.

Degree: 2014, National University of San Marcos

URL: http://hdl.handle.net/20.500.12672/3779

En este trabajo estudiamos el álgebra de Lie asociado con la filtración de la serie central del grupo de trenzas pura de Artin y probamos que es una extensión de las álgebras de Lie libres. Advisors/Committee Members: García Armas, Agripino (advisor).

Subjects/Keywords: Algebra de Lie

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APA (6^th Edition):

Quesada Llanto, J. C. (2014). Algebra de Lie de un grupo de trenza pura. (Thesis). National University of San Marcos. Retrieved from http://hdl.handle.net/20.500.12672/3779

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Quesada Llanto, Julio Christian. “Algebra de Lie de un grupo de trenza pura.” 2014. Thesis, National University of San Marcos. Accessed February 28, 2021. http://hdl.handle.net/20.500.12672/3779.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Quesada Llanto, Julio Christian. “Algebra de Lie de un grupo de trenza pura.” 2014. Web. 28 Feb 2021.

Vancouver:

Quesada Llanto JC. Algebra de Lie de un grupo de trenza pura. [Internet] [Thesis]. National University of San Marcos; 2014. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/20.500.12672/3779.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Quesada Llanto JC. Algebra de Lie de un grupo de trenza pura. [Thesis]. National University of San Marcos; 2014. Available from: http://hdl.handle.net/20.500.12672/3779

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Tartu University

27. Lätt, Priit. Induced 3-Lie superalgebras and their applications in superspace .

Degree: 2020, Tartu University

URL: http://hdl.handle.net/10062/68425

► Käesoleva doktoritöö eesmärk on uurida selliste n-Lie superalgerbrate omadusi, mis on konstrueeritud kasutades (n-1)-Lie superalgebra aluseks olevat (n-1)-aarset tehet, seda eriti juhul n=3. Tavalise Lie… (more)

Subjects/Keywords: superalgebras; Lie' algebras

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APA (6^th Edition):

Lätt, P. (2020). Induced 3-Lie superalgebras and their applications in superspace . (Thesis). Tartu University. Retrieved from http://hdl.handle.net/10062/68425

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lätt, Priit. “Induced 3-Lie superalgebras and their applications in superspace .” 2020. Thesis, Tartu University. Accessed February 28, 2021. http://hdl.handle.net/10062/68425.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lätt, Priit. “Induced 3-Lie superalgebras and their applications in superspace .” 2020. Web. 28 Feb 2021.

Vancouver:

Lätt P. Induced 3-Lie superalgebras and their applications in superspace . [Internet] [Thesis]. Tartu University; 2020. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10062/68425.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lätt P. Induced 3-Lie superalgebras and their applications in superspace . [Thesis]. Tartu University; 2020. Available from: http://hdl.handle.net/10062/68425

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University

28. Ginory, Alejandro, 1983-. Two problems in representation theory: affine Lie algebras and algebraic combinatorics.

Degree: PhD, Affine Lie algebras, 2019, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/60636/

►

In this dissertation, we investigate two topics with roots in representation theory. The first topic is about twisted affine Kac-Moody algebras and vector spaces spanned… (more)

▼

In this dissertation, we investigate two topics with roots in representation theory. The first topic is about twisted affine Kac-Moody algebras and vector spaces spanned bytheir characters. Specifically, the space spanned by the characters of twisted affine Lie algebras admit the action of certain congruence subgroups of SL (2, Z). By embedding the characters in the space spanned by theta functions, we study an SL (2, Z)-closure of the space of characters. Analogous to the untwisted affine Lie algebra case, we construct a commutative associative algebra (fusion algebra) structure on this space through the use of the Verlinde formula and study important quotients. Unlike the untwisted cases, some of these algebras and their quotients, which relate to the trace of diagram automorphisms on conformal blocks, have negative structure constants with respect to the (usual) basis indexed by the dominant integral weights of the Lie algebra. We give positivity conjectures for the new structure constants and prove them in some illuminating cases. We then compute formulas for the action of congruence subgroups on these character spaces and give explicit descriptions of the quotients using the affine Weyl group. The second topic concerns algebraic combinatorics and symmetric functions. In statistics, zonal polynomials and Schur functions appear when taking integrals over certain compact Lie groups with respect to their associated Haar measures. Recently, a conjecture, related to certain integrals of statistical interest, was proposed by D. Richards and S. Sahi. This conjecture asserts that certain linear combinations of Jack polynomials, a one-parameter family of symmetric polynomials that generalizes the zonal and Schur polynomials, are non-negative when evaluated over a certain cone. In the second part of this dissertation, we investigate these conjectures for Schur polynomials and give a refined version of the conjecture. In addition, we prove some cases and arrive at certain seemingly new combinatorial results. In an important instance, we give an analogous result for Jack polynomials.

Advisors/Committee Members: Sahi, Siddhartha (chair), Lepowsky, James (internal member), HUANG, YI-ZHI (internal member), Hong, Jiuzu (outside member), School of Graduate Studies.

Subjects/Keywords: Mathematics; Lie algebras

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APA (6^th Edition):

Ginory, Alejandro, 1. (2019). Two problems in representation theory: affine Lie algebras and algebraic combinatorics. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/60636/

Chicago Manual of Style (16^th Edition):

Ginory, Alejandro, 1983-. “Two problems in representation theory: affine Lie algebras and algebraic combinatorics.” 2019. Doctoral Dissertation, Rutgers University. Accessed February 28, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/60636/.

MLA Handbook (7^th Edition):

Ginory, Alejandro, 1983-. “Two problems in representation theory: affine Lie algebras and algebraic combinatorics.” 2019. Web. 28 Feb 2021.

Vancouver:

Ginory, Alejandro 1. Two problems in representation theory: affine Lie algebras and algebraic combinatorics. [Internet] [Doctoral dissertation]. Rutgers University; 2019. [cited 2021 Feb 28]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/60636/.

Council of Science Editors:

Ginory, Alejandro 1. Two problems in representation theory: affine Lie algebras and algebraic combinatorics. [Doctoral Dissertation]. Rutgers University; 2019. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/60636/

29. Dahamna, Khaled. Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées. : Classification of sub-Riemannian Lie algebras and integrability of associated geodesics equations.

Degree: Docteur es, Mathématiques, 2011, Rouen, INSA

URL: http://www.theses.fr/2011ISAM0012

►

Dans cette thèse, on s'intéresse en premier aux problèmes sous-riemanniens sur un groupe de Lie nilpotent d'ordre 2. Dans un premier temps, on réalise la… (more)

▼

Dans cette thèse, on s'intéresse en premier aux problèmes sous-riemanniens sur un groupe de Lie nilpotent d'ordre 2. Dans un premier temps, on réalise la classification complète des algèbres de Lie sous-riemanniennes (SR-algèbres de Lie) nilpotentes d'ordre 2 de dimension n compris entre 3 et 7, et celles de dimension arbitraire n telle que l'algèbre dérivée est de dimension une. De plus, nous avons distingué les SR-algèbres de Lie de contact et de quasi-contact et nous avons calculé, en dimension 5, le groupe des SR-symétries infinitésimales. Une fois cette classification réalisée, on étudie les géodésiques sous-riemanniennes associées aux SR-algèbres de Lie nilpotentes d'ordre 2 obtenues dans notre classification. Nous avons étudié l'intégrabilité des équations géodésiques adjointes et donné les contrôles optimaux ainsi que les trajectoires optimales dans chacun des cas. Dans une seconde partie de la thèse, on étudie les géodésiques sous-riemanniennes pour un groupe de Lie sous-riemannien (G;D;B) où G = SO(4) ou G = SO(2; 2) et D est de codimension 2 (donnant des espaces SR-homogènes de contact). Nous avons donné un modèle canonique de ces espaces et ensuite montré que les systèmes adjoints de Lie-Poisson associés au modèle étaient toujours intégrables au sens de Liouville. De plus, nous montrons que le système de Lie-Poisson est soit un système linéaire qui est super-intégrable en fonctions trigonométriques du temps ou constantes ; soit un système non linéaire intégrable au sens de Liouville et dont les solutions sont exprimables à l'aide de la fonction elliptique de Weierstrass.

In this thesis, we are interested first in the sub-Riemannian problems on 2-step nilpotent Lie groups. We start by obtaining a complete classification of 2-step nilpotent sub-Riemannian Lie algebras (SR-Lie algebras) of dimension n between 3 and 7, and those of arbitrary dimension n such that the derivated algebra is of dimension one. In addition, we characterize the contact and quasi contact SR-Lie algebras and we calculate, in dimension 5, the group of SR-infinitesimal symmetries. Having presented that classification, we study the sub-Riemannian geodesics associated with the 2 step nilpotent SR-Lie algebras obtained in our classification. We study the integrability of the adjoint geodesic equations and we give the optimal controls and optimal trajectories in each case. In the second part of the thesis, we study the sub-Riemannian geodesics for a sub-RiemannianLie group (G;D;B) where G = SO(4) or G = SO(2; 2) and D is of codimension 2 (giving contactSR-homogeneous spaces). We give canonical models of these spaces and then show that the Lie-Poisson adjoint systems associated with the models are always integrable in the Liouville sense. More over, we show that the Lie-Poisson system is either a linear system which is super-integrable with the help of trigonometric functions of time (or constant ones) or a non-linear system which is integrable in the Liouville sense and whose solutions can be expressed using the Weierstrass elliptic…

Advisors/Committee Members: Respondek, Witold (thesis director), El Assoudi, Rachida (thesis director).

Subjects/Keywords: Groupes de Lie; Algèbres de Lie; Contact; Classification; Sous-riemannien; Géodésiques; Intégrabilité; Lie groups; Lie algebras; Sub-Riemannian; Geodesics; Lie-Poisson

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dahamna, K. (2011). Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées. : Classification of sub-Riemannian Lie algebras and integrability of associated geodesics equations. (Doctoral Dissertation). Rouen, INSA. Retrieved from http://www.theses.fr/2011ISAM0012

Chicago Manual of Style (16^th Edition):

Dahamna, Khaled. “Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées. : Classification of sub-Riemannian Lie algebras and integrability of associated geodesics equations.” 2011. Doctoral Dissertation, Rouen, INSA. Accessed February 28, 2021. http://www.theses.fr/2011ISAM0012.

MLA Handbook (7^th Edition):

Dahamna, Khaled. “Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées. : Classification of sub-Riemannian Lie algebras and integrability of associated geodesics equations.” 2011. Web. 28 Feb 2021.

Vancouver:

Dahamna K. Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées. : Classification of sub-Riemannian Lie algebras and integrability of associated geodesics equations. [Internet] [Doctoral dissertation]. Rouen, INSA; 2011. [cited 2021 Feb 28]. Available from: http://www.theses.fr/2011ISAM0012.

Council of Science Editors:

Dahamna K. Classification des algèbres de Lie sous-riemanniennes et intégrabilité des équations géodésiques associées. : Classification of sub-Riemannian Lie algebras and integrability of associated geodesics equations. [Doctoral Dissertation]. Rouen, INSA; 2011. Available from: http://www.theses.fr/2011ISAM0012

UCLA

30. Hachtman, Sherwood J. Calibrating Determinacy Strength in Borel Hierarchies.

Degree: Mathematics, 2015, UCLA

URL: http://www.escholarship.org/uc/item/6tk9351b

► We study the strength of determinacy hypotheses in levels of two hierarchies of subsets of Baire space: the standard Borel hierarchy, and the hierarchy of… (more)

▼ We study the strength of determinacy hypotheses in levels of two hierarchies of subsets of Baire space: the standard Borel hierarchy, and the hierarchy of sets in the Borel sigma-algebra generated by coanalytic sets.We begin with the third level of this hierarchy, the lowest level at which the strength of determinacy had not yet been characterized in terms of a natural theory. Building on work of Philip Welch, we show that this determinacy is equivalent to the existence of a wellfounded set model of an axiom of monotone induction.For the fourth and higher levels, we prove best-possible refinements of old bounds due to Harvey Friedman and Donald A. Martin on the strength of determinacy in terms of iterations of the Power Set axiom. We introduce a novel family of reflection principles, and prove a level-by-level equivalence between determinacy at these levels and existence of a wellfounded model of the corresponding axiom. In the base case, we have the following concise result: determinacy at the fourth level of the Borel hierarchy is equivalent to the existence of a level of L satisfying that the set of real numbers exists, and every wellfounded tree on the reals is ranked.We connect this result to work of Noah Schweber on higher order reverse mathematics. Schweber shows, using the method of forcing, that for games with real number moves, clopen determinacy does not imply open determinacy over a weak base theory of third order arithmetic. We show that the level of L mentioned above is a witness to this separation result, and furthermore, that it is (in the appropriate sense) the minimal (third-order) beta-model of a natural theory of projective transfinite recursion. We obtain that that determinacy for games on naturals with payoff in the fourth level of the Borel hierarchy falls strictly between the principles of open and clopen determinacy for games with real number moves in terms of beta-consistency strength.Finally, we combine our methods with those of John Steel and Itay Neeman to characterize the strength of determinacy for sets in the pointclasses of the Borel hierarchy generated by analytic sets. Granted that the reals are closed under the sharp function, we show this determinacy is equivalent to the existence of an iterable mouse with a measurable cardinal of largest possible Mitchell order, conjuncted with an appropriate reflection principle.

Subjects/Keywords: Mathematics; admissible sets; determinacy; large cardinals; reverse math; set theory

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APA (6^th Edition):

Hachtman, S. J. (2015). Calibrating Determinacy Strength in Borel Hierarchies. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/6tk9351b

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hachtman, Sherwood J. “Calibrating Determinacy Strength in Borel Hierarchies.” 2015. Thesis, UCLA. Accessed February 28, 2021. http://www.escholarship.org/uc/item/6tk9351b.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hachtman, Sherwood J. “Calibrating Determinacy Strength in Borel Hierarchies.” 2015. Web. 28 Feb 2021.

Vancouver:

Hachtman SJ. Calibrating Determinacy Strength in Borel Hierarchies. [Internet] [Thesis]. UCLA; 2015. [cited 2021 Feb 28]. Available from: http://www.escholarship.org/uc/item/6tk9351b.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hachtman SJ. Calibrating Determinacy Strength in Borel Hierarchies. [Thesis]. UCLA; 2015. Available from: http://www.escholarship.org/uc/item/6tk9351b

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations