Spectral Characters of Finite-Dimensional Representations of Affine Algebras

dc.creatorChari, Vyjayanthi
dc.creatorMoura, Adriano
dc.date2003-12-10
dc.date2004-01-31
dc.date.accessioned2026-07-07T05:03:44Z
dc.date.available2026-07-07T05:03:44Z
dc.descriptionWe introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable q=1 limit of the elliptic characters defined by Etingof and Moura for quantum affine algebras. We show that these characters determine blocks of the category of finite-dimensional modules for affine algebras. To do this we use the Weyl modules defined by Chari and Pressley and some indecomposable reducible quotient of the Weyl modules.
dc.descriptionMore concise proofs for Propositions 1.2 and 2.4 added. To appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0312199
dc.identifierhttp://arxiv.org/abs/math/0312199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69538
dc.subjectRepresentation Theory
dc.subject17B67
dc.titleSpectral Characters of Finite-Dimensional Representations of Affine Algebras
dc.typetext

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