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Type: Artigo de periódico
Title: On Multigraded Generalizations of Kirillov-Reshetikhin Modules
Author: Bianchi, A
Chari, V
Fourier, G
Moura, A
Abstract: We study the category of -graded modules with finite-dimensional graded pieces for certain -graded Lie algebras. We also consider certain Serre subcategories with finitely many isomorphism classes of simple objects. We construct projective resolutions for the simple modules in these categories and compute the Ext groups between simple modules. We show that the projective covers of the simple modules in these Serre subcategories can be regarded as multigraded generalizations of Kirillov-Reshetikhin modules and give a recursive formula for computing their graded characters.
Subject: Kirillov-Reshetikhin modules
Lie algebras
Current algebras
Projective resolutions
Ext groups
Graded modules
Country: Holanda
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s10468-013-9408-0
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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