Existence of Kirillov-Reshetikhin crystals for nonexceptional types

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dc.creatorOkado, Masato
dc.creatorSchilling, Anne
dc.date2007-06-15
dc.date2008-11-11
dc.date.accessioned2026-07-07T11:44:45Z
dc.date.available2026-07-07T11:44:45Z
dc.descriptionUsing the methods of Kang et al. and recent results on the characters of Kirillov-Reshetikhin modules by Nakajima and Hernandez, the existence of Kirillov-Reshetikhin crystals B^{r,s} is established for all nonexceptional affine types. We also prove that the crystals B^{r,s} of type B_n^{(1)}, D_n^{(1)}, and A_{2n-1}^{(2)} are isomorphic to recently constructed combinatorial crystals for r not a spin node.
dc.description23 pages; version that appeared in Representation Theory and erratum added
dc.identifierhttps://arxiv.org/abs/0706.2224
dc.identifierhttp://arxiv.org/abs/0706.2224
dc.identifierRepresent.Theory12:186-207,2008
dc.identifierdoi:10.1090/S1088-4165-08-00329-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201662
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject81R50, 81R10, 17B37
dc.titleExistence of Kirillov-Reshetikhin crystals for nonexceptional types
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