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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Mukhin, Evgeny"). One record found.

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Universidade Estadual de Campinas

1. Brito, Matheus Batagini, 1985-. Classification and structure of certain representations of quantum affine algebras = Classificação e estrutura de certas representações de álgebras afim quantizadas: Classificação e estrutura de certas representações de álgebras afim quantizadas.

Degree: 2015, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307020 

Abstract: We study finite – dimensional representations for a quantum affine algebra from two different points of view. In the first part of this work we study the graded limit of a certain subclass of irreducible representations. Let V be a finite – dimensional representation for a quantum affine algebra of type A and assume that V is isomorphic to the tensor product of a minimal affinization by parts whose highest weight is a sum of distinct fundamental weights by Kirillov-Reshetkhin modules whose highest weights are twice a fundamental weight. We prove that V admits a graded limit L and that L is isomorphic to a level-two Demazure module as well as to the fusion product of the graded limits of each of the aforementioned tensor factors of V. We also prove that if the quantum affine algebra is of classical type (resp. type G), the graded limit of (regular) minimal affinizations (resp. Kirillov – Reshetkin modules) are isomorphic to CV-modules for some R^+ partition explicitly described. In the second part we show that a module for the quantum affine algebra of type B and rank n is tame if and only if it is thin. In other words, the Cartan currents are diagonalizable if and only if all joint generalized eigenspaces have dimension one. We classify all such modules and describe their q-characters. In some cases, the q-characters are described by super standard Young tableaux of type (2n|1) Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Mukhin, Evgeny (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Bennett, Matthew Lyle (committee member), Guerreiro, Marines (committee member), Pogorelsky, Bárbara Seelig (committee member), Martins, Renato Alessandro (committee member).

Subjects/Keywords: Grupos quânticos; Representações de álgebras; Quantum groups; Representations of algebras

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

APA (6th Edition):

Brito, Matheus Batagini, 1. (2015). Classification and structure of certain representations of quantum affine algebras = Classificação e estrutura de certas representações de álgebras afim quantizadas: Classificação e estrutura de certas representações de álgebras afim quantizadas. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/307020

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):

Brito, Matheus Batagini, 1985-. “Classification and structure of certain representations of quantum affine algebras = Classificação e estrutura de certas representações de álgebras afim quantizadas: Classificação e estrutura de certas representações de álgebras afim quantizadas.” 2015. Thesis, Universidade Estadual de Campinas. Accessed March 07, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307020.

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

MLA Handbook (7th Edition):

Brito, Matheus Batagini, 1985-. “Classification and structure of certain representations of quantum affine algebras = Classificação e estrutura de certas representações de álgebras afim quantizadas: Classificação e estrutura de certas representações de álgebras afim quantizadas.” 2015. Web. 07 Mar 2021.

Vancouver:

Brito, Matheus Batagini 1. Classification and structure of certain representations of quantum affine algebras = Classificação e estrutura de certas representações de álgebras afim quantizadas: Classificação e estrutura de certas representações de álgebras afim quantizadas. [Internet] [Thesis]. Universidade Estadual de Campinas; 2015. [cited 2021 Mar 07]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307020.

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

Council of Science Editors:

Brito, Matheus Batagini 1. Classification and structure of certain representations of quantum affine algebras = Classificação e estrutura de certas representações de álgebras afim quantizadas: Classificação e estrutura de certas representações de álgebras afim quantizadas. [Thesis]. Universidade Estadual de Campinas; 2015. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307020

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

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