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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Bekkert, Viktor"). Showing records 1 – 3 of 3 total matches.

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Universidade Estadual de Campinas

1. Calixto, Lucas Henrique, 1989-. Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções.

Degree: 2015, Universidade Estadual de Campinas

Abstract: This thesis is concerned with the representation theory of map Lie superalgebras. We consider a Lie superalgebra of the form \g\otimes A, where A is an associative commutative unital \C-algebra and \g is Lie superalgebra. Given actions of a finite group Γ on both A and \g, by automorphisms, we also consider the subalgebra of \g\otimes A of points fixed by the associated action of Γ, which will be called an equivariant map superalgebra. In the first part of the thesis we classify all irreducible finite-dimensional representations of the equivariant map queer Lie superalgebras (i.e. when the Lie superalgebra \g is \q(n), n ≥  2) under the assumption that Γ is abelian and acts freely on \MaxSpec (A). We show that the isomorphism classes of such representations are parametrized by a set of Γ-equivariant finitely supported maps from \MaxSpec (A) to the set of isomorphism classes of irreducible finite-dimensional representations of \g. In the special case that A is the coordinate ring of the torus, we obtain a classification of all irreducible finite-dimensional representations of the twisted loop queer superalgebra. In the second part of the thesis, we define global and local Weyl modules for \g \otimes A with \g a basic Lie superalgebra or \fsl(n,n), n  ≥  2. Under some mild assumptions, we prove universality, finite-dimensionality, and tensor product decomposition properties for these modules. We define super-Weyl functors for these Lie superalgebras and we prove several properties that are analogues of those of Weyl functors in the non-super setting. We also point out some features that are new in the super case Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Savage, Alistair Rowland John (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Iusenko, Kostiantyn (committee member), Bekkert, Viktor (committee member), Centrone, Lucio (committee member), Kochloukov, Plamen Emilov (committee member).

Subjects/Keywords: Lie, Superálgebras de; Representações de álgebras; Álgebra de funções; Lie superalgebras; Representations of algebras; Function algebras

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

APA (6th Edition):

Calixto, Lucas Henrique, 1. (2015). Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987

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

Chicago Manual of Style (16th Edition):

Calixto, Lucas Henrique, 1989-. “Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções.” 2015. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987.

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

MLA Handbook (7th Edition):

Calixto, Lucas Henrique, 1989-. “Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções.” 2015. Web. 24 Jan 2021.

Vancouver:

Calixto, Lucas Henrique 1. Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções. [Internet] [Thesis]. Universidade Estadual de Campinas; 2015. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987.

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

Council of Science Editors:

Calixto, Lucas Henrique 1. Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções. [Thesis]. Universidade Estadual de Campinas; 2015. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987

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


Universidade Estadual de Campinas

2. Biânchi, Angelo Calil, 1984-. Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras.

Degree: 2012, Universidade Estadual de Campinas

Abstract: This work is dedicated to the study of some aspects of the representation theory of certain algebras which can be regarded as generalizations of the concept of affine Kac- Moody algebras. The work is divided into two parts: the first is concerned with the finite-dimensional representations of twisted hyper loop algebras and the other focuses on certain homological properties of the category of representations of a multigraded Lie algebra which are useful to study a generalization of the concept of Kirillov-Reshetikhin modules Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Chari, Vyjayanthi (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Ciência da Computação (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Guerreiro, Marines (committee member), Kochloukov, Plamen Emilov (committee member), Bekkert, Viktor (committee member), Futorny, Vyacheslav (committee member).

Subjects/Keywords: Kac-Moody, Algebras de; Representações de álgebras; Fórmulas de caracteres; Álgebras graduadas; Kac-Moody algebras; Representations of algebras; Hyperalgebras; Character formulas; Graded algebras

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

APA (6th Edition):

Biânchi, Angelo Calil, 1. (2012). Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031

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

Chicago Manual of Style (16th Edition):

Biânchi, Angelo Calil, 1984-. “Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031.

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

MLA Handbook (7th Edition):

Biânchi, Angelo Calil, 1984-. “Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras.” 2012. Web. 24 Jan 2021.

Vancouver:

Biânchi, Angelo Calil 1. Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031.

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

Council of Science Editors:

Biânchi, Angelo Calil 1. Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031

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


Universidade Estadual de Campinas

3. Macedo, Tiago Rodrigues, 1985-. Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações.

Degree: 2013, Universidade Estadual de Campinas

Abstract: In this thesis we consider two main problems. The first problem concerns extensions between simple modules for current algebras associated to complex, simple, finite-dimensional Lie algebras. To begin, we compute 1-extensions between finite-dimensional simple modules, partially recovering a result due to Kodera. Then we develop a technique aimed to compute higher extensions, and which we use to compute 2-extensions between certain simple modules. Finally we prove that cohomology groups of current algebras are isomorphic to the cohomology groups of its underlying simple Lie algebra, a result stated by Feigin. This part of the thesis arises from collaboration with B. Boe, C. Drupieski and D. Nakano. The second problem is concerned with the study of certain classes of modules for hyper algebras of current algebras. In the case that the underlying Lie algebra is simply laced, we show that local Weyl modules are isomorphic to certain Demazure modules, extending to positive characteristic a result due to Fourier-Littelmann. More generally, we extend a result of Naoi by proving that local Weyl modules admit a Demazure flag, i.e., a filtration with factors isomorphic to Demazure modules. Using this, we prove a conjecture of Jakelic-Moura stating that the character of local Weyl modules for hyper loop algebras are independent of the (algebraically closed) ground field Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Nakano, Daniel Ken, 1964- (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Bekkert, Viktor (committee member), Kochloukova, Dessislava Hristova (committee member), Heluani, Reimundo (committee member), Futorny, Vyacheslav (committee member).

Subjects/Keywords: Lie, Álgebra de; Álgebra homológica; Representações de álgebras; Lie algebras; Homological algebra; Representations of algebras

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

APA (6th Edition):

Macedo, Tiago Rodrigues, 1. (2013). Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998

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

Chicago Manual of Style (16th Edition):

Macedo, Tiago Rodrigues, 1985-. “Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações.” 2013. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998.

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

MLA Handbook (7th Edition):

Macedo, Tiago Rodrigues, 1985-. “Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações.” 2013. Web. 24 Jan 2021.

Vancouver:

Macedo, Tiago Rodrigues 1. Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações. [Internet] [Thesis]. Universidade Estadual de Campinas; 2013. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998.

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

Council of Science Editors:

Macedo, Tiago Rodrigues 1. Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações. [Thesis]. Universidade Estadual de Campinas; 2013. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998

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

.