Littelmann's path crystal and combinatorics of certain sl_{l+1}^ modules of level zero

dc.creatorGreenstein, Jacob
dc.date2002-06-25
dc.date2002-09-04
dc.date.accessioned2026-07-07T04:49:21Z
dc.date.available2026-07-07T04:49:21Z
dc.descriptionWe construct a subcrystal of the Littelmann's path crystal whose formal character coincides with that of a certain simple integrable module of level zero over the untwisted affine Lie algebra associated to sl_n. We also establish an analogue of the Littlewood-Richardson rule for the tensor product of that crystal with a highest weight crystal.
dc.description25 pages, AMSLaTeX; to appear in the "Journal of Algebra"
dc.identifierhttps://arxiv.org/abs/math/0206263
dc.identifierhttp://arxiv.org/abs/math/0206263
dc.identifierJ. Algebra, 269 (2003), no. 1, 347-372
dc.identifierdoi:10.1016/S0021-8693(03)00304-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64391
dc.subjectQuantum Algebra
dc.titleLittelmann's path crystal and combinatorics of certain sl_{l+1}^ modules of level zero
dc.typetext

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