Demazure structure inside Kirillov-Reshetikhin crystals

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dc.creatorFourier, Ghislain
dc.creatorSchilling, Anne
dc.creatorShimozono, Mark
dc.date2006-05-16
dc.date.accessioned2026-07-07T11:48:16Z
dc.date.available2026-07-07T11:48:16Z
dc.descriptionThe conjecturally perfect Kirillov-Reshetikhin (KR) crystals are known to be isomorphic as classical crystals to certain Demazure subcrystals of crystal graphs of irreducible highest weight modules over affine algebras. Under some assumptions we show that the classical isomorphism from the Demazure crystal to the KR crystal, sends zero arrows to zero arrows. This implies that the affine crystal structure on these KR crystals is unique.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0605451
dc.identifierhttp://arxiv.org/abs/math/0605451
dc.identifierJ.Algebra309:386-404,2007
dc.identifierdoi:10.1016/j.jalgebra.2006.09.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202866
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37; 81R50; 22E65
dc.titleDemazure structure inside Kirillov-Reshetikhin crystals
dc.typetext

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