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Master's Dissertation
DOI
10.11606/D.45.2017.tde-29092017-114301
Document
Author
Full name
Marcela Guerrini Alves
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2016
Supervisor
Committee
Futorny, Vyacheslav (President)
Ferraz, Raul Antonio
Martins, Renato Alessandro
Title in Portuguese
Realização de campos livres de álgebras de Kac-Moody afim
Keywords in Portuguese
Álgebras de Kac-Moody afim
Localização
Módulos de Verma
Realização de campos livres
Abstract in Portuguese
Este trabalho tem como objetivo principal estudar módulos irredutíveis sobre as álgebras de Kac-Moody afim, conforme [7]. Em particular, a técnica de localização foi aplicada aos módulos de Verma imaginários sobre a álgebra de Lie afim A(1)1, com o objetivo de obter novos módulos irredutíveis sobre essa álgebra. Conforme [8] e [6], é o mesmo que aplicar a técnica de localização à primeira realização de campos livres de A(1)1 .Para cumprir o objetivo, introduzimos as álgebras de Kac-Moody, tendo como foco principal as álgebras de Kac-Moody do tipo afim, conforme [14]. Em seguida, definimos os módulos de Verma,destacando os módulos de Verma imaginários sobre a álgebra de Lie afim A(1)1, conforme [8].
Title in English
Free fields realization of affine Kac-Moody algebras
Keywords in English
Affine Kac-Moody algebras
Free fields realization
Localization
Verma modules
Abstract in English
The main purpose of this work is to study the irreducible modules of affine Kac-Moody algebras,according to [7].In particular, the localization technique was applied to the imaginary Verma modules of affine Lie algebra A(1)1, with the purpose to obtain new irreducible modules of this algebra. According to[8] and [6], it is the same as to apply the localization technique to the first realization of free fields of A(1)1.To achieve the purpose, we introduced the Kac-Moody algebras, having the main focus the af-fine Kac-Moody algebras, according to [14]. Following, we defined the Verma modules, highlighting imaginary Verma modules of affine Lie algebra A(1)1, according to [8].
 
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VersaoFinal.pdf (1.32 Mbytes)
Publishing Date
2017-11-16
 
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