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Type: Artigo
Title: Tilting modules in truncated categories
Author: Bennett, Matthew
Bianchi, Angelo
Abstract: We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Gamma') where Gamma' = P' x J, where P' subset of P+ is saturated. Under certain natural conditions on Gamma', we note that G(Gamma') admits full tilting modules
Subject: Álgebra de Lie
Country: Ucrânia
Editor: Natsional'na Akademiya Nauk Ukrainy/Instytut Matematyky
Rights: Fechado
Identifier DOI: 10.3842/SIGMA.2014.030
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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