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Type: Artigo de periódico
Title: Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
Author: Jakelic, D
Moura, A
Abstract: We study finite-dimensional representations of hyper loop algebras over non-algebraically closed fields. The main results concern the classification of the irreducible representations, the construction of the Weyl modules, base change, tensor products of irreducible and Weyl modules, and the block decomposition of the underlying abelian category. Several results are interestingly related to the study of irreducible representations of polynomial algebras and Galois theory.
Subject: Loop algebras
Loop groups
Affine Kac-Moody algebras
Finite-dimensional representations
Country: Holanda
Editor: Springer
Citation: Algebras And Representation Theory. Springer, v. 13, n. 3, n. 271, n. 301, 2010.
Rights: fechado
Identifier DOI: 10.1007/s10468-008-9122-5
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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