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Representations of hyper loop algebras and multi curret algebras

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Author(s):
Angelo Calil Biânchi
Total Authors: 1
Document type: Doctoral Thesis
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Ciência da Computação
Defense date:
Examining board members:
Adriano Adrega de Moura; Marines Guerreiro; Plamen Emilov Kochloukov; Viktor Bekkert; Vyacheslav Futorny
Advisor: Vyjayanthi Chari; Adriano Adrega de Moura
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 (AU)

FAPESP's process: 07/07456-9 - Representations of hyper loop algebras and multi current algebras
Grantee:Angelo Calil Bianchi
Support Opportunities: Scholarships in Brazil - Doctorate