A Combinatorial Model for Crystals of Kac-Moody Algebras

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dc.creatorLenart, Cristian
dc.creatorPostnikov, Alexander
dc.date2005-02-07
dc.date2006-09-01
dc.date.accessioned2026-07-07T06:39:24Z
dc.date.available2026-07-07T06:39:24Z
dc.descriptionWe present a simple combinatorial model for the characters of the irreducible integrable highest weight modules for complex symmetrizable Kac-Moody algebras. This model can be viewed as a discrete counterpart to the Littelmann path model. We describe crystal graphs and give a Littlewood-Richardson rule for decomposing tensor products of irreducible representations. The new model is based on the notion of a lambda-chain, which is a chain of positive roots defined by certain interlacing conditions.
dc.description28 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0502147
dc.identifierhttp://arxiv.org/abs/math/0502147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101065
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject17B67; 22E46, 20G42
dc.titleA Combinatorial Model for Crystals of Kac-Moody Algebras
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