subject:(Representation theory)

Baylor University

1. Franco, Jose A. Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials.

Degree: Mathematics., 2012, Baylor University

► We study the representation theory of the solution space of the one-dimensional Schrödinger equation with time-dependent potentials that possess sl₂-symmetry. We give explicit local intertwining… (more)

Subjects/Keywords: Representation theory.

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APA (6^th Edition):

Franco, J. A. (2012). Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials. (Thesis). Baylor University. Retrieved from http://hdl.handle.net/2104/8428

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):

Franco, Jose A. “Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials. ” 2012. Thesis, Baylor University. Accessed January 21, 2020. http://hdl.handle.net/2104/8428.

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

MLA Handbook (7^th Edition):

Franco, Jose A. “Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials. ” 2012. Web. 21 Jan 2020.

Vancouver:

Franco JA. Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials. [Internet] [Thesis]. Baylor University; 2012. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/2104/8428.

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

Council of Science Editors:

Franco JA. Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials. [Thesis]. Baylor University; 2012. Available from: http://hdl.handle.net/2104/8428

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

2. Leshin, Jonah. Class field towers, solvable Galois representations and Noether's problem in Galois theory.

Degree: PhD, Mathematics, 2014, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:386221/

► We begin by investigating the class field tower problem for Kummer extensions of cyclotomic fields. For a prime l, we construct an infinite class of… (more)

▼ We begin by investigating the class field tower problem for Kummer extensions of cyclotomic fields. For a prime l, we construct an infinite class of cyclic degree l extensions of the field of lth roots unity that have infinite class field tower and are only ramified at l and two additional primes. As an application, we consider the case l=3 and construct an S_3 extension of the rationals with infinite class field tower that is only ramified at 3 primes, giving an example of a "small" field with infinite class field tower. Motivated by the class field tower problem, we next study the behavior of the root discriminant in a solvable number field extension. In particular, we use class field theory to show that for any fixed number field K, there are only finitely many extensions of K of a given solvable length and bounded root discriminant. This theorem should be viewed in light of the fact that all fields in a class field tower have the same root discriminant. In the next part of the thesis, we analyze the possibilities for the fields cut out by a solvable three-dimensional representation of the absolute Galois group of the rationals that is ramified at a single finite prime. In doing so, we give bounds for the number of such representations with given Artin conductor. This work is motivated by similar results in the case of two-dimensional Galois representations, where Langlands-type techniques are available. We then continue our study of Galois representations in the context of torsion points on abelian varieties over number fields. We prove several facts about the image of the representation of Galois acting on the l-torsion points of an abelian variety subject to certain constraints. Lastly, we study a variant of Noether's problem in Galois theory. Building on work of Lenstra, we give an upper bound for the degree of irrationality of the fields whose rationality is the question of Noether's problem. Advisors/Committee Members: Silverman, Joseph (Director), Rosen, Michael (Reader), Lichtenbaum, Stephen (Reader).

Subjects/Keywords: representation theory

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APA (6^th Edition):

Leshin, J. (2014). Class field towers, solvable Galois representations and Noether's problem in Galois theory. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:386221/

Chicago Manual of Style (16^th Edition):

Leshin, Jonah. “Class field towers, solvable Galois representations and Noether's problem in Galois theory.” 2014. Doctoral Dissertation, Brown University. Accessed January 21, 2020. https://repository.library.brown.edu/studio/item/bdr:386221/.

MLA Handbook (7^th Edition):

Leshin, Jonah. “Class field towers, solvable Galois representations and Noether's problem in Galois theory.” 2014. Web. 21 Jan 2020.

Vancouver:

Leshin J. Class field towers, solvable Galois representations and Noether's problem in Galois theory. [Internet] [Doctoral dissertation]. Brown University; 2014. [cited 2020 Jan 21]. Available from: https://repository.library.brown.edu/studio/item/bdr:386221/.

Council of Science Editors:

Leshin J. Class field towers, solvable Galois representations and Noether's problem in Galois theory. [Doctoral Dissertation]. Brown University; 2014. Available from: https://repository.library.brown.edu/studio/item/bdr:386221/

University of Manchester

3. Schwabrow, Inga. The Centre of a Block.

Degree: 2016, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:301218

► Let G be a finite group and F a field. The group algebra FG decomposes as a direct sum of two-sided ideals, called the blocks… (more)

Subjects/Keywords: Representation Theory

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

APA (6^th Edition):

Schwabrow, I. (2016). The Centre of a Block. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:301218

Chicago Manual of Style (16^th Edition):

Schwabrow, Inga. “The Centre of a Block.” 2016. Doctoral Dissertation, University of Manchester. Accessed January 21, 2020. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:301218.

MLA Handbook (7^th Edition):

Schwabrow, Inga. “The Centre of a Block.” 2016. Web. 21 Jan 2020.

Vancouver:

Schwabrow I. The Centre of a Block. [Internet] [Doctoral dissertation]. University of Manchester; 2016. [cited 2020 Jan 21]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:301218.

Council of Science Editors:

Schwabrow I. The Centre of a Block. [Doctoral Dissertation]. University of Manchester; 2016. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:301218

University of Edinburgh

4. Bellamy, Gwyn. Generalized Calogero-Moser spaces and rational Cherednik algebras.

Degree: PhD, 2010, University of Edinburgh

URL: http://hdl.handle.net/1842/4733

► The subject of this thesis is the interplay between the geometry and the representation theory of rational Cherednik algebras at t = 0. Exploiting this… (more)

▼ The subject of this thesis is the interplay between the geometry and the representation theory of rational Cherednik algebras at t = 0. Exploiting this relationship, we use representation theoretic techniques to classify all complex re ection groups for which the geometric space associated to a rational Cherednik algebra, the generalized Calogero-Moser space, is singular. Applying results of Ginzburg-Kaledin and Namikawa, this classification allows us to deduce a (nearly complete) classification of those symplectic reflection groups for which there exist crepant resolutions of the corresponding symplectic quotient singularity. Then we explore a particular way of relating the representation theory and geometry of a rational Cherednik algebra associated to a group W to the representation theory and geometry of a rational Cherednik algebra associated to a parabolic subgroup of W. The key result that makes this construction possible is a recent result of Bezrukavnikov and Etingof on completions of rational Cherednik algebras. This leads to the definition of cuspidal representations and we show that it is possible to reduce the problem of studying all the simple modules of the rational Cherednik algebra to the study of these nitely many cuspidal modules. We also look at how the Etingof-Ginzburg sheaf on the generalized Calogero-Moser space can be "factored" in terms of parabolic subgroups when it is restricted to particular subvarieties. In particular, we are able to confirm a conjecture of Etingof and Ginzburg on "factorizations" of the Etingof-Ginzburg sheaf. Finally, we use Clifford theoretic techniques to show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups G(m; d; n) from the corresponding partition for G(m; 1; n). This confirms, in the case W = G(m; d; n), a conjecture of Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding cyclotomic Hecke algebra.

Subjects/Keywords: 518; representation theory

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APA (6^th Edition):

Bellamy, G. (2010). Generalized Calogero-Moser spaces and rational Cherednik algebras. (Doctoral Dissertation). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/4733

Chicago Manual of Style (16^th Edition):

Bellamy, Gwyn. “Generalized Calogero-Moser spaces and rational Cherednik algebras.” 2010. Doctoral Dissertation, University of Edinburgh. Accessed January 21, 2020. http://hdl.handle.net/1842/4733.

MLA Handbook (7^th Edition):

Bellamy, Gwyn. “Generalized Calogero-Moser spaces and rational Cherednik algebras.” 2010. Web. 21 Jan 2020.

Vancouver:

Bellamy G. Generalized Calogero-Moser spaces and rational Cherednik algebras. [Internet] [Doctoral dissertation]. University of Edinburgh; 2010. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/1842/4733.

Council of Science Editors:

Bellamy G. Generalized Calogero-Moser spaces and rational Cherednik algebras. [Doctoral Dissertation]. University of Edinburgh; 2010. Available from: http://hdl.handle.net/1842/4733

University of Manchester

5. Schwabrow, Inga. The centre of a block.

Degree: PhD, 2016, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/the-centre-of-a-block(6f24d1db-166f-41e1-9975-52c4b8fe4e88).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.694272

► Let G be a finite group and F a field. The group algebra FG decomposes as a direct sum of two-sided ideals, called the blocks… (more)

Subjects/Keywords: 512; Representation Theory

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

APA (6^th Edition):

Schwabrow, I. (2016). The centre of a block. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/the-centre-of-a-block(6f24d1db-166f-41e1-9975-52c4b8fe4e88).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.694272

Chicago Manual of Style (16^th Edition):

Schwabrow, Inga. “The centre of a block.” 2016. Doctoral Dissertation, University of Manchester. Accessed January 21, 2020. https://www.research.manchester.ac.uk/portal/en/theses/the-centre-of-a-block(6f24d1db-166f-41e1-9975-52c4b8fe4e88).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.694272.

MLA Handbook (7^th Edition):

Schwabrow, Inga. “The centre of a block.” 2016. Web. 21 Jan 2020.

Vancouver:

Schwabrow I. The centre of a block. [Internet] [Doctoral dissertation]. University of Manchester; 2016. [cited 2020 Jan 21]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/the-centre-of-a-block(6f24d1db-166f-41e1-9975-52c4b8fe4e88).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.694272.

Council of Science Editors:

Schwabrow I. The centre of a block. [Doctoral Dissertation]. University of Manchester; 2016. Available from: https://www.research.manchester.ac.uk/portal/en/theses/the-centre-of-a-block(6f24d1db-166f-41e1-9975-52c4b8fe4e88).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.694272

University of Ottawa

6. Redding, Nigel. The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope .

Degree: 2017, University of Ottawa

URL: http://hdl.handle.net/10393/36467

In this thesis, we study the polynomial equations that describe the highest weight orbit of an irreducible finite dimensional highest weight module under a semisimple Lie group. We also study the connection of the convex hull of this orbit and the Carathéodory orbitope.

Subjects/Keywords: Orbitopes; Representation Theory

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APA (6^th Edition):

Redding, N. (2017). The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope . (Thesis). University of Ottawa. Retrieved from http://hdl.handle.net/10393/36467

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):

Redding, Nigel. “The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope .” 2017. Thesis, University of Ottawa. Accessed January 21, 2020. http://hdl.handle.net/10393/36467.

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

MLA Handbook (7^th Edition):

Redding, Nigel. “The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope .” 2017. Web. 21 Jan 2020.

Vancouver:

Redding N. The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope . [Internet] [Thesis]. University of Ottawa; 2017. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/10393/36467.

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

Council of Science Editors:

Redding N. The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope . [Thesis]. University of Ottawa; 2017. Available from: http://hdl.handle.net/10393/36467

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

University of Oklahoma

7. Tharp, Benjiman. Representations of the marked Brauer algebra.

Degree: PhD, 2017, University of Oklahoma

URL: http://hdl.handle.net/11244/50675

► The marked Brauer algebra is a generalization of the diagrammatic Brauer algebra which diagrammatizes Moon's centralizer algebra for the type \mathfrak{p} Lie superalgebra. We prove… (more)

Subjects/Keywords: Algebra; Representation Theory

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APA (6^th Edition):

Tharp, B. (2017). Representations of the marked Brauer algebra. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/50675

Chicago Manual of Style (16^th Edition):

Tharp, Benjiman. “Representations of the marked Brauer algebra.” 2017. Doctoral Dissertation, University of Oklahoma. Accessed January 21, 2020. http://hdl.handle.net/11244/50675.

MLA Handbook (7^th Edition):

Tharp, Benjiman. “Representations of the marked Brauer algebra.” 2017. Web. 21 Jan 2020.

Vancouver:

Tharp B. Representations of the marked Brauer algebra. [Internet] [Doctoral dissertation]. University of Oklahoma; 2017. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/11244/50675.

Council of Science Editors:

Tharp B. Representations of the marked Brauer algebra. [Doctoral Dissertation]. University of Oklahoma; 2017. Available from: http://hdl.handle.net/11244/50675

Queens University

8. Tsanov, Valdemar Vasilev. Embeddings of flag manifolds and cohomological components of modules .

Degree: Mathematics and Statistics, 2011, Queens University

URL: http://hdl.handle.net/1974/6661

► This thesis is a study in Representation Theory and Geometry. These two branches of mathematics have a fruitful interaction, with many applications to Physics and… (more)

Subjects/Keywords: Representation theory; Mathematics

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APA (6^th Edition):

Tsanov, V. V. (2011). Embeddings of flag manifolds and cohomological components of modules . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/6661

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):

Tsanov, Valdemar Vasilev. “Embeddings of flag manifolds and cohomological components of modules .” 2011. Thesis, Queens University. Accessed January 21, 2020. http://hdl.handle.net/1974/6661.

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

MLA Handbook (7^th Edition):

Tsanov, Valdemar Vasilev. “Embeddings of flag manifolds and cohomological components of modules .” 2011. Web. 21 Jan 2020.

Vancouver:

Tsanov VV. Embeddings of flag manifolds and cohomological components of modules . [Internet] [Thesis]. Queens University; 2011. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/1974/6661.

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

Council of Science Editors:

Tsanov VV. Embeddings of flag manifolds and cohomological components of modules . [Thesis]. Queens University; 2011. Available from: http://hdl.handle.net/1974/6661

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

University of Minnesota

9. Grodzicki, William. The Non-Split bessel Model on GSp(4) as an Iwahori-Hecke Algebra Module.

Degree: PhD, Mathematics, 2017, University of Minnesota

URL: http://hdl.handle.net/11299/190561

► We realize the non-split Bessel model of Novodvorsky and Piatetski-Shapiro as a generalized Gelfand-Graev representation of GSp(4), as defined by Kawanaka. Our primary goal is… (more)

Subjects/Keywords: Number Theory; Representation Theory

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APA (6^th Edition):

Grodzicki, W. (2017). The Non-Split bessel Model on GSp(4) as an Iwahori-Hecke Algebra Module. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/190561

Chicago Manual of Style (16^th Edition):

Grodzicki, William. “The Non-Split bessel Model on GSp(4) as an Iwahori-Hecke Algebra Module.” 2017. Doctoral Dissertation, University of Minnesota. Accessed January 21, 2020. http://hdl.handle.net/11299/190561.

MLA Handbook (7^th Edition):

Grodzicki, William. “The Non-Split bessel Model on GSp(4) as an Iwahori-Hecke Algebra Module.” 2017. Web. 21 Jan 2020.

Vancouver:

Grodzicki W. The Non-Split bessel Model on GSp(4) as an Iwahori-Hecke Algebra Module. [Internet] [Doctoral dissertation]. University of Minnesota; 2017. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/11299/190561.

Council of Science Editors:

Grodzicki W. The Non-Split bessel Model on GSp(4) as an Iwahori-Hecke Algebra Module. [Doctoral Dissertation]. University of Minnesota; 2017. Available from: http://hdl.handle.net/11299/190561

University of Edinburgh

10. Chen, Yun-Ling. How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations.

Degree: 2010, University of Edinburgh

URL: http://hdl.handle.net/1842/5333

► In this dissertation, I resume the discussion of privative features as a notational device in segmental representation. I argue from both theoretical and empirical perspectives… (more)

Subjects/Keywords: element theory; privativity; segmental representation

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APA (6^th Edition):

Chen, Y. (2010). How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations. (Thesis). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/5333

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):

Chen, Yun-Ling. “How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations.” 2010. Thesis, University of Edinburgh. Accessed January 21, 2020. http://hdl.handle.net/1842/5333.

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

MLA Handbook (7^th Edition):

Chen, Yun-Ling. “How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations.” 2010. Web. 21 Jan 2020.

Vancouver:

Chen Y. How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations. [Internet] [Thesis]. University of Edinburgh; 2010. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/1842/5333.

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

Council of Science Editors:

Chen Y. How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations. [Thesis]. University of Edinburgh; 2010. Available from: http://hdl.handle.net/1842/5333

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

University of Edinburgh

11. Chen, Yun-Ling. How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations.

Degree: 2010, University of Edinburgh

URL: http://hdl.handle.net/1842/5335

► In this dissertation, I resume the discussion of privative features as a notational device in segmental representation. I argue from both theoretical and empirical perspectives… (more)

Subjects/Keywords: privativity; segmental representation; element theory

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

APA (6^th Edition):

Chen, Y. (2010). How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations. (Thesis). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/5335

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):

Chen, Yun-Ling. “How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations.” 2010. Thesis, University of Edinburgh. Accessed January 21, 2020. http://hdl.handle.net/1842/5335.

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

MLA Handbook (7^th Edition):

Chen, Yun-Ling. “How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations.” 2010. Web. 21 Jan 2020.

Vancouver:

Chen Y. How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations. [Internet] [Thesis]. University of Edinburgh; 2010. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/1842/5335.

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

Council of Science Editors:

Chen Y. How Powerful Are Elements? An Evaluation of the Adequacy of Element Thory in Phonological Representations. [Thesis]. University of Edinburgh; 2010. Available from: http://hdl.handle.net/1842/5335

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

Penn State University

12. Turner, Jacob Wade. The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications.

Degree: PhD, Mathematics, 2015, Penn State University

URL: https://etda.libraries.psu.edu/catalog/24878

► The main objects of study in this work are tensor networks. We study applications of these objects to problems in computer science and physics using… (more)

Subjects/Keywords: Representation Theory; Algebraic Geometry

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APA (6^th Edition):

Turner, J. W. (2015). The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications. (Doctoral Dissertation). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/24878

Chicago Manual of Style (16^th Edition):

Turner, Jacob Wade. “The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications.” 2015. Doctoral Dissertation, Penn State University. Accessed January 21, 2020. https://etda.libraries.psu.edu/catalog/24878.

MLA Handbook (7^th Edition):

Turner, Jacob Wade. “The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications.” 2015. Web. 21 Jan 2020.

Vancouver:

Turner JW. The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications. [Internet] [Doctoral dissertation]. Penn State University; 2015. [cited 2020 Jan 21]. Available from: https://etda.libraries.psu.edu/catalog/24878.

Council of Science Editors:

Turner JW. The Invariant Theory and Geometry Pertaining to Tensor Networks and Some Further Applications. [Doctoral Dissertation]. Penn State University; 2015. Available from: https://etda.libraries.psu.edu/catalog/24878

Penn State University

13. George, Christopher Yousuf. The Mackey Analogy for SL(n,R).

Degree: PhD, Mathematics, 2008, Penn State University

URL: https://etda.libraries.psu.edu/catalog/9313

► Let G be a connected semisimple Lie group with finite center, and let K be a maximal compact subgroup. Mackey suggested that there should be… (more)

Subjects/Keywords: representation theory; Lie groups

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

APA (6^th Edition):

George, C. Y. (2008). The Mackey Analogy for SL(n,R). (Doctoral Dissertation). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/9313

Chicago Manual of Style (16^th Edition):

George, Christopher Yousuf. “The Mackey Analogy for SL(n,R).” 2008. Doctoral Dissertation, Penn State University. Accessed January 21, 2020. https://etda.libraries.psu.edu/catalog/9313.

MLA Handbook (7^th Edition):

George, Christopher Yousuf. “The Mackey Analogy for SL(n,R).” 2008. Web. 21 Jan 2020.

Vancouver:

George CY. The Mackey Analogy for SL(n,R). [Internet] [Doctoral dissertation]. Penn State University; 2008. [cited 2020 Jan 21]. Available from: https://etda.libraries.psu.edu/catalog/9313.

Council of Science Editors:

George CY. The Mackey Analogy for SL(n,R). [Doctoral Dissertation]. Penn State University; 2008. Available from: https://etda.libraries.psu.edu/catalog/9313

University of California – Riverside

14. Shereen, Peri. A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules.

Degree: Mathematics, 2015, University of California – Riverside

URL: http://www.escholarship.org/uc/item/85r1r7nd

► We study Demazure modules which occur in a level ℓ irreducible integrable representation of an affine Lie algebra. We also assume that they are stable… (more)

Subjects/Keywords: Mathematics; Lie Algebras; Representation Theory

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APA (6^th Edition):

Shereen, P. (2015). A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules. (Thesis). University of California – Riverside. Retrieved from http://www.escholarship.org/uc/item/85r1r7nd

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):

Shereen, Peri. “A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules.” 2015. Thesis, University of California – Riverside. Accessed January 21, 2020. http://www.escholarship.org/uc/item/85r1r7nd.

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

MLA Handbook (7^th Edition):

Shereen, Peri. “A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules.” 2015. Web. 21 Jan 2020.

Vancouver:

Shereen P. A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules. [Internet] [Thesis]. University of California – Riverside; 2015. [cited 2020 Jan 21]. Available from: http://www.escholarship.org/uc/item/85r1r7nd.

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

Council of Science Editors:

Shereen P. A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules. [Thesis]. University of California – Riverside; 2015. Available from: http://www.escholarship.org/uc/item/85r1r7nd

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

University of Southern California

15. Sobaje, Paul G., Jr. Blocks of finite group schemes.

Degree: PhD, Mathematics, 2011, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/616371/rec/1142

► We study the block theory of a finite group scheme G over an algebraically closed field of positive characteristic. Our primary interest will be in… (more)

Subjects/Keywords: algebra; groups; representation theory

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

APA (6^th Edition):

Sobaje, Paul G., J. (2011). Blocks of finite group schemes. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/616371/rec/1142

Chicago Manual of Style (16^th Edition):

Sobaje, Paul G., Jr. “Blocks of finite group schemes.” 2011. Doctoral Dissertation, University of Southern California. Accessed January 21, 2020. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/616371/rec/1142.

MLA Handbook (7^th Edition):

Sobaje, Paul G., Jr. “Blocks of finite group schemes.” 2011. Web. 21 Jan 2020.

Vancouver:

Sobaje, Paul G. J. Blocks of finite group schemes. [Internet] [Doctoral dissertation]. University of Southern California; 2011. [cited 2020 Jan 21]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/616371/rec/1142.

Council of Science Editors:

Sobaje, Paul G. J. Blocks of finite group schemes. [Doctoral Dissertation]. University of Southern California; 2011. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/616371/rec/1142

University of Cambridge

16. Clarke, Matthew Charles. Unipotent elements in algebraic groups.

Degree: PhD, 2012, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/241660 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546637

► This thesis is concerned with three distinct, but closely related, research topics focusing on the unipotent elements of a connected reductive algebraic group G, over… (more)

▼ This thesis is concerned with three distinct, but closely related, research topics focusing on the unipotent elements of a connected reductive algebraic group G, over an algebraically closed field k, and nilpotent elements in the Lie algebra g = LieG. The first topic is a determination of canonical forms for unipotent classes and nilpotent orbits of G. Using an original approach, we begin by obtaining a new canonical form for nilpotent matrices, up to similarity, which is symmetric with respect to the non-main diagonal (i.e. it is fixed by the map f : (xi;j) -> (xn+1-j;n+1-i)), with entries in {0,1}. We then show how to modify this form slightly in order to satisfy a non-degenerate symmetric or skew-symmetric bilinear form, assuming that the orbit does not vanish in the presence of such a form. Replacing G by any simple classical algebraic group, we thus obtain a unified approach to computing representatives for nilpotent orbits for all classical groups G. By applying Springer morphisms, this also yields representatives for the corresponding unipotent classes in G. As a corollary, we obtain a complete set of generic canonical representatives for the unipotent classes of the finite general unitary groups GUn(Fq) for all prime powers q. Our second topic is concerned with unipotent pieces, defined by G. Lusztig in [Unipotent elements in small characteristic, Transform. Groups 10 (2005), 449-487]. We give a case-free proof of the conjectures of Lusztig from that paper. This presents a uniform picture of the unipotent elements of G, which can be viewed as an extension of the Dynkin-Kostant theory, but is valid without restriction on p. We also obtain analogous results for the adjoint action of G on its Lie algebra g and the coadjoint action of G on g*. We also obtain several general results about the Hesselink stratification and Fq-rational structures on G-modules. Our third topic is concerned with generalised Gelfand-Graev representations of finite groups of Lie type. Let u be a unipotent element in such a group GF and let Γu be the associated generalised Gelfand-Graev representation of GF . Under the assumption that G has a connected centre, we show that the dimension of the endomorphism algebra of Γu is a polynomial in q (the order of the associated finite field), with degree given by dimCG(u). When the centre of G is disconnected, it is impossible, in general, to parametrise the (isomorphism classes of) generalised Gelfand-Graev representations independently of q, unless one adopts a convention of considering separately various congruence classes of q. Subject to such a convention, we extend our result. We also present computational data related to the main theoretical results. In particular, tables of our canonical forms are given in the appendices, as well as tables of dimension polynomials for endomorphism algebras of generalised Gelfand-Graev representations, together with the relevant GAP source code.

Subjects/Keywords: 510; Algebraic groups; Representation theory

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Clarke, M. C. (2012). Unipotent elements in algebraic groups. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/241660 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546637

Chicago Manual of Style (16^th Edition):

Clarke, Matthew Charles. “Unipotent elements in algebraic groups.” 2012. Doctoral Dissertation, University of Cambridge. Accessed January 21, 2020. https://www.repository.cam.ac.uk/handle/1810/241660 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546637.

MLA Handbook (7^th Edition):

Clarke, Matthew Charles. “Unipotent elements in algebraic groups.” 2012. Web. 21 Jan 2020.

Vancouver:

Clarke MC. Unipotent elements in algebraic groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2012. [cited 2020 Jan 21]. Available from: https://www.repository.cam.ac.uk/handle/1810/241660 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546637.

Council of Science Editors:

Clarke MC. Unipotent elements in algebraic groups. [Doctoral Dissertation]. University of Cambridge; 2012. Available from: https://www.repository.cam.ac.uk/handle/1810/241660 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546637

University of Cambridge

17. Clarke, Matthew Charles. Unipotent elements in algebraic groups.

Degree: PhD, 2012, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/241660https://www.repository.cam.ac.uk/bitstream/1810/241660/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/5/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/6/thesis.pdf.jpg

► This thesis is concerned with three distinct, but closely related, research topics focusing on the unipotent elements of a connected reductive algebraic group G, over… (more)

▼ This thesis is concerned with three distinct, but closely related, research topics focusing on the unipotent elements of a connected reductive algebraic group G, over an algebraically closed field k, and nilpotent elements in the Lie algebra g = LieG. The first topic is a determination of canonical forms for unipotent classes and nilpotent orbits of G. Using an original approach, we begin by obtaining a new canonical form for nilpotent matrices, up to similarity, which is symmetric with respect to the non-main diagonal (i.e. it is fixed by the map f : (xi;j) -> (xn+1-j;n+1-i)), with entries in {0,1}. We then show how to modify this form slightly in order to satisfy a non-degenerate symmetric or skew-symmetric bilinear form, assuming that the orbit does not vanish in the presence of such a form. Replacing G by any simple classical algebraic group, we thus obtain a unified approach to computing representatives for nilpotent orbits for all classical groups G. By applying Springer morphisms, this also yields representatives for the corresponding unipotent classes in G. As a corollary, we obtain a complete set of generic canonical representatives for the unipotent classes of the finite general unitary groups GUn(Fq) for all prime powers q. Our second topic is concerned with unipotent pieces, defined by G. Lusztig in [Unipotent elements in small characteristic, Transform. Groups 10 (2005), 449-487]. We give a case-free proof of the conjectures of Lusztig from that paper. This presents a uniform picture of the unipotent elements of G, which can be viewed as an extension of the Dynkin-Kostant theory, but is valid without restriction on p. We also obtain analogous results for the adjoint action of G on its Lie algebra g and the coadjoint action of G on g*. We also obtain several general results about the Hesselink stratification and Fq-rational structures on G-modules. Our third topic is concerned with generalised Gelfand-Graev representations of finite groups of Lie type. Let u be a unipotent element in such a group GF and let Γu be the associated generalised Gelfand-Graev representation of GF . Under the assumption that G has a connected centre, we show that the dimension of the endomorphism algebra of Γu is a polynomial in q (the order of the associated finite field), with degree given by dimCG(u). When the centre of G is disconnected, it is impossible, in general, to parametrise the (isomorphism classes of) generalised Gelfand-Graev representations independently of q, unless one adopts a convention of considering separately various congruence classes of q. Subject to such a convention, we extend our result. We also present computational data related to the main theoretical results. In particular, tables of our canonical forms are given in the appendices, as well as tables of dimension polynomials for endomorphism algebras of generalised Gelfand-Graev representations, together with the relevant GAP source code.

Subjects/Keywords: Algebraic groups; Representation theory

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Clarke, M. C. (2012). Unipotent elements in algebraic groups. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/241660https://www.repository.cam.ac.uk/bitstream/1810/241660/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/5/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/6/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Clarke, Matthew Charles. “Unipotent elements in algebraic groups.” 2012. Doctoral Dissertation, University of Cambridge. Accessed January 21, 2020. http://www.dspace.cam.ac.uk/handle/1810/241660https://www.repository.cam.ac.uk/bitstream/1810/241660/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/5/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/6/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Clarke, Matthew Charles. “Unipotent elements in algebraic groups.” 2012. Web. 21 Jan 2020.

Vancouver:

Clarke MC. Unipotent elements in algebraic groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2012. [cited 2020 Jan 21]. Available from: http://www.dspace.cam.ac.uk/handle/1810/241660https://www.repository.cam.ac.uk/bitstream/1810/241660/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/5/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/6/thesis.pdf.jpg.

Council of Science Editors:

Clarke MC. Unipotent elements in algebraic groups. [Doctoral Dissertation]. University of Cambridge; 2012. Available from: http://www.dspace.cam.ac.uk/handle/1810/241660https://www.repository.cam.ac.uk/bitstream/1810/241660/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/5/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241660/6/thesis.pdf.jpg

University of Oregon

18. Muth, Robert. Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type.

Degree: 2016, University of Oregon

URL: http://hdl.handle.net/1794/20432

► We study representations of Khovanov-Lauda-Rouquier (KLR) algebras of affine Lie type. Associated to every convex preorder on the set of positive roots is a system… (more)

Subjects/Keywords: KLR algebras; Representation theory

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

APA (6^th Edition):

Muth, R. (2016). Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type. (Thesis). University of Oregon. Retrieved from http://hdl.handle.net/1794/20432

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):

Muth, Robert. “Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type.” 2016. Thesis, University of Oregon. Accessed January 21, 2020. http://hdl.handle.net/1794/20432.

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

MLA Handbook (7^th Edition):

Muth, Robert. “Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type.” 2016. Web. 21 Jan 2020.

Vancouver:

Muth R. Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type. [Internet] [Thesis]. University of Oregon; 2016. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/1794/20432.

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

Council of Science Editors:

Muth R. Representations of Khovanov-Lauda-Rouquier algebras of affine Lie type. [Thesis]. University of Oregon; 2016. Available from: http://hdl.handle.net/1794/20432

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

University of Oregon

19. Schopieray, Andrew. Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity.

Degree: 2017, University of Oregon

URL: http://hdl.handle.net/1794/22630

► For each finite dimensional Lie algebra \mathfrak{g} and positive integer k there exists a modular tensor category 𝓒(\mathfrak{g},k) consisting of highest weight integrable \mathfrak{ĝ}-modules of… (more)

Subjects/Keywords: Quantum algebra; Representation Theory

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

APA (6^th Edition):

Schopieray, A. (2017). Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity. (Thesis). University of Oregon. Retrieved from http://hdl.handle.net/1794/22630

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):

Schopieray, Andrew. “Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity.” 2017. Thesis, University of Oregon. Accessed January 21, 2020. http://hdl.handle.net/1794/22630.

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

MLA Handbook (7^th Edition):

Schopieray, Andrew. “Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity.” 2017. Web. 21 Jan 2020.

Vancouver:

Schopieray A. Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity. [Internet] [Thesis]. University of Oregon; 2017. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/1794/22630.

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

Council of Science Editors:

Schopieray A. Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity. [Thesis]. University of Oregon; 2017. Available from: http://hdl.handle.net/1794/22630

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

20. Marcott, Cameron. Partition Algebras and Kronecker Coefficients.

Degree: 2015, University of Waterloo

URL: http://hdl.handle.net/10012/9618

► Classical Schur-Weyl duality relates the representation theory of the general linear group to the representation theory of the symmetric group via their commuting actions on… (more)

Subjects/Keywords: algebraic combinatorics; representation theory

1 more image…

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

APA (6^th Edition):

Marcott, C. (2015). Partition Algebras and Kronecker Coefficients. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/9618

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):

Marcott, Cameron. “Partition Algebras and Kronecker Coefficients.” 2015. Thesis, University of Waterloo. Accessed January 21, 2020. http://hdl.handle.net/10012/9618.

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

MLA Handbook (7^th Edition):

Marcott, Cameron. “Partition Algebras and Kronecker Coefficients.” 2015. Web. 21 Jan 2020.

Vancouver:

Marcott C. Partition Algebras and Kronecker Coefficients. [Internet] [Thesis]. University of Waterloo; 2015. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/10012/9618.

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

Council of Science Editors:

Marcott C. Partition Algebras and Kronecker Coefficients. [Thesis]. University of Waterloo; 2015. Available from: http://hdl.handle.net/10012/9618

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

University of Waterloo

21. Al-Faisal, Faisal. On the Representation Theory of Semisimple Lie Groups.

Degree: 2010, University of Waterloo

URL: http://hdl.handle.net/10012/5421

► This thesis is an expository account of three central theorems in the representation theory of semisimple Lie groups, namely the theorems of Borel-Weil-Bott, Casselman-Osborne and… (more)

Subjects/Keywords: Lie groups; representation theory; geometry

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

APA (6^th Edition):

Al-Faisal, F. (2010). On the Representation Theory of Semisimple Lie Groups. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5421

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):

Al-Faisal, Faisal. “On the Representation Theory of Semisimple Lie Groups.” 2010. Thesis, University of Waterloo. Accessed January 21, 2020. http://hdl.handle.net/10012/5421.

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

MLA Handbook (7^th Edition):

Al-Faisal, Faisal. “On the Representation Theory of Semisimple Lie Groups.” 2010. Web. 21 Jan 2020.

Vancouver:

Al-Faisal F. On the Representation Theory of Semisimple Lie Groups. [Internet] [Thesis]. University of Waterloo; 2010. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/10012/5421.

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

Council of Science Editors:

Al-Faisal F. On the Representation Theory of Semisimple Lie Groups. [Thesis]. University of Waterloo; 2010. Available from: http://hdl.handle.net/10012/5421

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

University of New South Wales

22. Capel, Joshua. Classification of second-order conformally-superintegrable systems.

Degree: Mathematics & Statistics, 2014, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true

► Over the last half century the study of superintegrable systems has established itself as an interesting subject with connections to some of the earliest known… (more)

Subjects/Keywords: Representation Theory; Superintegrability; Mathematical Physics

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

APA (6^th Edition):

Capel, J. (2014). Classification of second-order conformally-superintegrable systems. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Capel, Joshua. “Classification of second-order conformally-superintegrable systems.” 2014. Doctoral Dissertation, University of New South Wales. Accessed January 21, 2020. http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Capel, Joshua. “Classification of second-order conformally-superintegrable systems.” 2014. Web. 21 Jan 2020.

Vancouver:

Capel J. Classification of second-order conformally-superintegrable systems. [Internet] [Doctoral dissertation]. University of New South Wales; 2014. [cited 2020 Jan 21]. Available from: http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true.

Council of Science Editors:

Capel J. Classification of second-order conformally-superintegrable systems. [Doctoral Dissertation]. University of New South Wales; 2014. Available from: http://handle.unsw.edu.au/1959.4/53501 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12196/SOURCE02?view=true

23. TAN WEI KIAT, DOUGLAS. ORBITS ON TWISTED BHARGAVA BOXES.

Degree: 2016, National University of Singapore

URL: http://scholarbank.nus.edu.sg/handle/10635/137188

Subjects/Keywords: Representation Theory

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

APA (6^th Edition):

TAN WEI KIAT, D. (2016). ORBITS ON TWISTED BHARGAVA BOXES. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/137188

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):

TAN WEI KIAT, DOUGLAS. “ORBITS ON TWISTED BHARGAVA BOXES.” 2016. Thesis, National University of Singapore. Accessed January 21, 2020. http://scholarbank.nus.edu.sg/handle/10635/137188.

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

MLA Handbook (7^th Edition):

TAN WEI KIAT, DOUGLAS. “ORBITS ON TWISTED BHARGAVA BOXES.” 2016. Web. 21 Jan 2020.

Vancouver:

TAN WEI KIAT D. ORBITS ON TWISTED BHARGAVA BOXES. [Internet] [Thesis]. National University of Singapore; 2016. [cited 2020 Jan 21]. Available from: http://scholarbank.nus.edu.sg/handle/10635/137188.

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

Council of Science Editors:

TAN WEI KIAT D. ORBITS ON TWISTED BHARGAVA BOXES. [Thesis]. National University of Singapore; 2016. Available from: http://scholarbank.nus.edu.sg/handle/10635/137188

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

Northeastern University

24. Gautam, Sachin. Three contributions in representation theory: (1) cluster algebras and Grassmannians of type $G_2$ (2) Yangians and quantum loop algebras (3) monodromy of the trigonometric Casimir connection of $\mathfrak{sl}_2$.

Degree: PhD, Department of Mathematics, 2011, Northeastern University

URL: http://hdl.handle.net/2047/d20001058

► The aim of the current dissertation is to address certain problems in the representation theory of simple Lie algebras and associated quantum algebras.; In Part… (more)

Subjects/Keywords: mathematics; representation theory; Mathematics

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

APA (6^th Edition):

Gautam, S. (2011). Three contributions in representation theory: (1) cluster algebras and Grassmannians of type $G_2$ (2) Yangians and quantum loop algebras (3) monodromy of the trigonometric Casimir connection of $\mathfrak{sl}_2$. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/d20001058

Chicago Manual of Style (16^th Edition):

Gautam, Sachin. “Three contributions in representation theory: (1) cluster algebras and Grassmannians of type $G_2$ (2) Yangians and quantum loop algebras (3) monodromy of the trigonometric Casimir connection of $\mathfrak{sl}_2$.” 2011. Doctoral Dissertation, Northeastern University. Accessed January 21, 2020. http://hdl.handle.net/2047/d20001058.

MLA Handbook (7^th Edition):

Gautam, Sachin. “Three contributions in representation theory: (1) cluster algebras and Grassmannians of type $G_2$ (2) Yangians and quantum loop algebras (3) monodromy of the trigonometric Casimir connection of $\mathfrak{sl}_2$.” 2011. Web. 21 Jan 2020.

Vancouver:

Gautam S. Three contributions in representation theory: (1) cluster algebras and Grassmannians of type $G_2$ (2) Yangians and quantum loop algebras (3) monodromy of the trigonometric Casimir connection of $\mathfrak{sl}_2$. [Internet] [Doctoral dissertation]. Northeastern University; 2011. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/2047/d20001058.

Council of Science Editors:

Gautam S. Three contributions in representation theory: (1) cluster algebras and Grassmannians of type $G_2$ (2) Yangians and quantum loop algebras (3) monodromy of the trigonometric Casimir connection of $\mathfrak{sl}_2$. [Doctoral Dissertation]. Northeastern University; 2011. Available from: http://hdl.handle.net/2047/d20001058

Northeastern University

25. Zhu, Shijie. Four topics in algebra and representation theory.

Degree: PhD, Department of Mathematics, 2018, Northeastern University

URL: http://hdl.handle.net/2047/D20287799

► This is a combination of four papers I worked on during my PhD study, of which three are joint-work with co-authors. Topic 1 is Morphisms… (more)

Subjects/Keywords: algebra; representation theory; modules

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APA (6^th Edition):

Zhu, S. (2018). Four topics in algebra and representation theory. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/D20287799

Chicago Manual of Style (16^th Edition):

Zhu, Shijie. “Four topics in algebra and representation theory.” 2018. Doctoral Dissertation, Northeastern University. Accessed January 21, 2020. http://hdl.handle.net/2047/D20287799.

MLA Handbook (7^th Edition):

Zhu, Shijie. “Four topics in algebra and representation theory.” 2018. Web. 21 Jan 2020.

Vancouver:

Zhu S. Four topics in algebra and representation theory. [Internet] [Doctoral dissertation]. Northeastern University; 2018. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/2047/D20287799.

Council of Science Editors:

Zhu S. Four topics in algebra and representation theory. [Doctoral Dissertation]. Northeastern University; 2018. Available from: http://hdl.handle.net/2047/D20287799

University of Iowa

26. Wackwitz, Daniel Joseph. Versal deformation rings of modules over Brauer tree algebras.

Degree: PhD, Mathematics, 2015, University of Iowa

URL: https://ir.uiowa.edu/etd/1926

► This thesis applies methods from the representation theory of finite dimensional algebras, specifically Brauer tree algebras, to the study of versal deformation rings of… (more)

Subjects/Keywords: publicabstract; algebra; representation theory; Mathematics

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

APA (6^th Edition):

Wackwitz, D. J. (2015). Versal deformation rings of modules over Brauer tree algebras. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/1926

Chicago Manual of Style (16^th Edition):

Wackwitz, Daniel Joseph. “Versal deformation rings of modules over Brauer tree algebras.” 2015. Doctoral Dissertation, University of Iowa. Accessed January 21, 2020. https://ir.uiowa.edu/etd/1926.

MLA Handbook (7^th Edition):

Wackwitz, Daniel Joseph. “Versal deformation rings of modules over Brauer tree algebras.” 2015. Web. 21 Jan 2020.

Vancouver:

Wackwitz DJ. Versal deformation rings of modules over Brauer tree algebras. [Internet] [Doctoral dissertation]. University of Iowa; 2015. [cited 2020 Jan 21]. Available from: https://ir.uiowa.edu/etd/1926.

Council of Science Editors:

Wackwitz DJ. Versal deformation rings of modules over Brauer tree algebras. [Doctoral Dissertation]. University of Iowa; 2015. Available from: https://ir.uiowa.edu/etd/1926

University of Saskatchewan

27. Hu, Jiaxiong. Invariant Lie polynomials in two and three variables.

Degree: 2009, University of Saskatchewan

URL: http://hdl.handle.net/10388/etd-08192009-110822

► In 1949, Wever observed that the degree d of an invariant Lie polynomial must be a multiple of the number q of generators of the… (more)

▼ In 1949, Wever observed that the degree d of an invariant Lie polynomial must be a multiple of the number q of generators of the free Lie algebra. He also found that there are no invariant Lie polynomials in the following cases: q = 2, d = 4; q = 3, d = 6; d = q ≥ 3. Wever gave a formula for the number of invariants for q = 2 in the natural representation of sl(2). In 1958, Burrow extended Wever’s formula to q > 1 and d = mq where m > 1. In the present thesis, we concentrate on ﬁnding invariant Lie polynomials (simply called Lie invariants) in the natural representations of sl(2) and sl(3), and in the adjoint representation of sl(2). We ﬁrst review the method to construct the Hall basis of the free Lie algebra and the way to transform arbitrary Lie words into linear combinations of Hall words. To ﬁnd the Lie invariants, we need to ﬁnd the nullspace of an integer matrix, and for this we use the Hermite normal form. After that, we review the generalized Witt dimension formula which can be used to compute the number of primitive Lie invariants of a given degree. Secondly, we recall the result of Bremner on Lie invariants of degree ≤ 10 in the natural representation of sl(2). We extend these results to compute the Lie invariants of degree 12 and 14. This is the ﬁrst original contribution in the present thesis. Thirdly, we compute the Lie invariants in the adjoint representation of sl(2) up to degree 8. This is the second original contribution in the present thesis. Fourthly, we consider the natural representation of sl(3). This is a 3-dimensional natural representation of an 8-dimensional Lie algebra. Due to the huge number of Hall words in each degree and the limitation of computer hardware, we compute the Lie invariants only up to degree 12. Finally, we discuss possible directions for extending the results. Because there are inﬁnitely many diﬀerent simple ﬁnite dimensional Lie algebras and each of them has inﬁnitely many distinct irreducible representations, it is an open-ended problem. Advisors/Committee Members: Murray, Bremner, Chris, Soteros, Martin, John.

Subjects/Keywords: Free Lie algebra; Invariant theory; Representation theory

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APA (6^th Edition):

Hu, J. (2009). Invariant Lie polynomials in two and three variables. (Thesis). University of Saskatchewan. Retrieved from http://hdl.handle.net/10388/etd-08192009-110822

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):

Hu, Jiaxiong. “Invariant Lie polynomials in two and three variables.” 2009. Thesis, University of Saskatchewan. Accessed January 21, 2020. http://hdl.handle.net/10388/etd-08192009-110822.

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

MLA Handbook (7^th Edition):

Hu, Jiaxiong. “Invariant Lie polynomials in two and three variables.” 2009. Web. 21 Jan 2020.

Vancouver:

Hu J. Invariant Lie polynomials in two and three variables. [Internet] [Thesis]. University of Saskatchewan; 2009. [cited 2020 Jan 21]. Available from: http://hdl.handle.net/10388/etd-08192009-110822.

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

Council of Science Editors:

Hu J. Invariant Lie polynomials in two and three variables. [Thesis]. University of Saskatchewan; 2009. Available from: http://hdl.handle.net/10388/etd-08192009-110822

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

University of Cambridge

28. Rizkallah, John. Bounding cohomology for low rank algebraic groups.

Degree: PhD, 2017, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/267214

Let G be a semisimple linear algebraic group over an algebraically closed field of prime characteristic. In this thesis we outline the theory of such groups and their cohomology. We then concentrate on algebraic groups in rank 1 and 2, and prove some new results in their bounding cohomology.

Subjects/Keywords: group theory; representation theory; algebraic groups; cohomology

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

APA (6^th Edition):

Rizkallah, J. (2017). Bounding cohomology for low rank algebraic groups. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/267214

Chicago Manual of Style (16^th Edition):

Rizkallah, John. “Bounding cohomology for low rank algebraic groups.” 2017. Doctoral Dissertation, University of Cambridge. Accessed January 21, 2020. https://www.repository.cam.ac.uk/handle/1810/267214.

MLA Handbook (7^th Edition):

Rizkallah, John. “Bounding cohomology for low rank algebraic groups.” 2017. Web. 21 Jan 2020.

Vancouver:

Rizkallah J. Bounding cohomology for low rank algebraic groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2017. [cited 2020 Jan 21]. Available from: https://www.repository.cam.ac.uk/handle/1810/267214.

Council of Science Editors:

Rizkallah J. Bounding cohomology for low rank algebraic groups. [Doctoral Dissertation]. University of Cambridge; 2017. Available from: https://www.repository.cam.ac.uk/handle/1810/267214

University of Cambridge

29. Kenneally, Darren John. On eigenvectors for semisimple elements in actions of algebraic groups.

Degree: PhD, 2010, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/224782https://www.repository.cam.ac.uk/bitstream/1810/224782/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/5/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/3/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/6/DK%20final%20thesis.pdf.jpg

► Let G be a simple simply connected algebraic group defined over an algebraically closed field K and V an irreducible module defined over K on… (more)

Subjects/Keywords: Representation theory; Algebraic groups; Group theory; Eigenvectors

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APA (6^th Edition):

Kenneally, D. J. (2010). On eigenvectors for semisimple elements in actions of algebraic groups. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/224782https://www.repository.cam.ac.uk/bitstream/1810/224782/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/5/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/3/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/6/DK%20final%20thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Kenneally, Darren John. “On eigenvectors for semisimple elements in actions of algebraic groups.” 2010. Doctoral Dissertation, University of Cambridge. Accessed January 21, 2020. http://www.dspace.cam.ac.uk/handle/1810/224782https://www.repository.cam.ac.uk/bitstream/1810/224782/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/5/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/3/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/6/DK%20final%20thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Kenneally, Darren John. “On eigenvectors for semisimple elements in actions of algebraic groups.” 2010. Web. 21 Jan 2020.

Vancouver:

Kenneally DJ. On eigenvectors for semisimple elements in actions of algebraic groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2010. [cited 2020 Jan 21]. Available from: http://www.dspace.cam.ac.uk/handle/1810/224782https://www.repository.cam.ac.uk/bitstream/1810/224782/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/5/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/3/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/6/DK%20final%20thesis.pdf.jpg.

Council of Science Editors:

Kenneally DJ. On eigenvectors for semisimple elements in actions of algebraic groups. [Doctoral Dissertation]. University of Cambridge; 2010. Available from: http://www.dspace.cam.ac.uk/handle/1810/224782https://www.repository.cam.ac.uk/bitstream/1810/224782/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/5/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/3/DK%20final%20thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224782/6/DK%20final%20thesis.pdf.jpg

Temple University

30. Jacoby, Adam Michael. ON REPRESENTATION THEORY OF FINITE-DIMENSIONAL HOPF ALGEBRAS.

Degree: PhD, 2017, Temple University

URL: http://digital.library.temple.edu/u?/p245801coll10,433432

►

Mathematics

Representation theory is a field of study within abstract algebra that originated around the turn of the 19th century in the work of Frobenius… (more)

Subjects/Keywords: Mathematics;

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

APA (6^th Edition):

Jacoby, A. M. (2017). ON REPRESENTATION THEORY OF FINITE-DIMENSIONAL HOPF ALGEBRAS. (Doctoral Dissertation). Temple University. Retrieved from http://digital.library.temple.edu/u?/p245801coll10,433432

Chicago Manual of Style (16^th Edition):

Jacoby, Adam Michael. “ON REPRESENTATION THEORY OF FINITE-DIMENSIONAL HOPF ALGEBRAS.” 2017. Doctoral Dissertation, Temple University. Accessed January 21, 2020. http://digital.library.temple.edu/u?/p245801coll10,433432.

MLA Handbook (7^th Edition):

Jacoby, Adam Michael. “ON REPRESENTATION THEORY OF FINITE-DIMENSIONAL HOPF ALGEBRAS.” 2017. Web. 21 Jan 2020.

Vancouver:

Jacoby AM. ON REPRESENTATION THEORY OF FINITE-DIMENSIONAL HOPF ALGEBRAS. [Internet] [Doctoral dissertation]. Temple University; 2017. [cited 2020 Jan 21]. Available from: http://digital.library.temple.edu/u?/p245801coll10,433432.

Council of Science Editors:

Jacoby AM. ON REPRESENTATION THEORY OF FINITE-DIMENSIONAL HOPF ALGEBRAS. [Doctoral Dissertation]. Temple University; 2017. Available from: http://digital.library.temple.edu/u?/p245801coll10,433432

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