ON DEMAZURE and LOCAL WEYL MODULES for AFFINE HYPERALGEBRAS

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dc.contributor.authorBianchi, Angelo [UNIFESP]
dc.contributor.authorMacedo, Tiago [UNIFESP]
dc.contributor.authorMoura, Adriano
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2016-01-24T14:40:22Z
dc.date.available2016-01-24T14:40:22Z
dc.date.issued2015-04-01
dc.description.abstractWe establish the existence of Demazure flags for graded local Weyl modules for hyper current algebras in positive characteristic. If the underlying simple Lie algebra is simply laced, the flag has length one; that is, the graded local Weyl modules are isomorphic to Demazure modules. This extends to the positive characteristic setting results of Chari and Loktev, Fourier and Littelmann, and Naoi for current algebras in characteristic zero. Using this result, we prove that the character of local Weyl modules for hyper loop algebras depend only on the highest weight, but not on the (algebraically closed) ground field, and deduce a tensor product factorization for them.en
dc.description.affiliationUniversidade Federal de São Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP, Brazil
dc.description.affiliationUnifespUniversidade Federal de São Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.sourceWeb of Science
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIDFAPESP: 2011/22322-4
dc.description.sponsorshipIDFAPESP: 2009/05887-8
dc.description.sponsorshipIDCNPq: 303667/2011-7
dc.format.extent257-303
dc.identifierhttp://dx.doi.org/10.2140/pjm.2015.274.257
dc.identifier.citationPacific Journal of Mathematics. Berkeley: Pacific Journal Mathematics, v. 274, n. 2, p. 257-303, 2015.
dc.identifier.doi10.2140/pjm.2015.274.257
dc.identifier.issn0030-8730
dc.identifier.urihttp://repositorio.unifesp.br/handle/11600/38985
dc.identifier.wosWOS:000352491200001
dc.language.isoeng
dc.publisherPacific Journal Mathematics
dc.relation.ispartofPacific Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectWeyl modulesen
dc.subjectDemazure modulesen
dc.subjecthyperalgebrasen
dc.subjectaffine Kac-Moody algebrasen
dc.subjecttwisted affine algebrasen
dc.titleON DEMAZURE and LOCAL WEYL MODULES for AFFINE HYPERALGEBRASen
dc.typeinfo:eu-repo/semantics/article
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