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Type: Artigo de periódico
Title: Elliptic Central Characters And Blocks Of Finite Dimensional Representations Of Quantum Affine Algebras
Author: Etingof P.I.
Moura A.A.
Abstract: The category of finite dimensional (type 1) representations of a quantum affine algebra U q(ĝ) is not semisimple. However, as any abelian category with finite-length objects, it admits a unique decomposition in a direct sum of indecomposable subcategories (blocks). We define the elliptic central character of a finite dimensional (type 1) representation of U q(ĝ) and show that the block decomposition of this category is parametrized by these elliptic central characters. © Copyright 2005, American Mathematical Society.
Rights: fechado
Identifier DOI: 10.1090/S1088-4165-03-00201-2
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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