Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0

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dc.creatorBenkart, Georgia
dc.creatorFrenkel, Igor
dc.creatorKang, Seok-Jin
dc.creatorLee, Hyeonmi
dc.date2005-07-06
dc.date.accessioned2026-07-07T11:48:16Z
dc.date.available2026-07-07T11:48:16Z
dc.descriptionWe present a uniform construction of level 1 perfect crystals $\mathcal B$ for all affine Lie algebras. We also introduce the notion of a crystal algebra and give an explicit description of its multiplication. This allows us to determine the energy function on $\mathcal B \otimes \mathcal B$ completely and thereby give a path realization of the basic representations at $q=0$ in the homogeneous picture.
dc.identifierhttps://arxiv.org/abs/math/0507114
dc.identifierhttp://arxiv.org/abs/math/0507114
dc.identifierInt.Math.Res.Not.2006:10312,2006
dc.identifierdoi:10.1155/IMRN/2006/10312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202861
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37, 17B67, 81R50
dc.titleLevel 1 Perfect Crystals and Path Realizations of Basic Representations at q=0
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