Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/66980
Type: Artigo de periódico
Title: FINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS
Author: Bianchi, A
Moura, A
Abstract: We investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper-loop algebras are isomorphic to appropriate simple and Weyl modules for the nontwisted hyper-loop algebras, respectively, via restriction of the action.
Subject: Finite-dimensional representations
Hyperalgebras
Loop algebras
Primary 17B10
17B65
Secondary 20G42
Country: EUA
Editor: Taylor & Francis Inc
Rights: fechado
Identifier DOI: 10.1080/00927872.2013.781610
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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