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Type: Artigo de periódico
Title: Prime representations from a homological perspective
Author: Chari, V
Moura, A
Young, C
Abstract: We explore the relation between self extensions of simple representations of quantum affine algebras and the property of a simple representation being prime. We show that every nontrivial simple representation has a nontrivial self extension. Conversely, we prove that if a simple representation has a unique nontrivial self extension up to isomorphism, then its Drinfeld polynomial is a power of the Drinfeld polynomial of a prime representation. It turns out that, in the -case, a simple module is prime if and only if it has a unique nontrivial self extension up to isomorphism. It is tempting to conjecture that this is true in general and we present a large class of prime representations satisfying this homological property.
Subject: Quantum affine algebras
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00209-012-1088-7
Date Issue: 2013
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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