On Demazure And Local Weyl Modules For Affine Hyperalgebras

dc.creatorBianchi
dc.creatorAngelo; Macedo
dc.creatorTiago; Moura
dc.creatorAdriano
dc.date2015-APR
dc.date2016-06-07T13:27:50Z
dc.date2016-06-07T13:27:50Z
dc.date.accessioned2018-03-29T01:45:32Z
dc.date.available2018-03-29T01:45:32Z
dc.identifier
dc.identifierOn Demazure And Local Weyl Modules For Affine Hyperalgebras. Pacific Journal Mathematics, v. 274, p. 257-303 APR-2015.
dc.identifier0030-8730
dc.identifierWOS:000352491200001
dc.identifier10.2140/pjm.2015.274.257
dc.identifierhttp://msp.org/pjm/2015/274-2/p01.xhtml
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/243406
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1307104
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe 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.
dc.description274
dc.description2
dc.description
dc.description257
dc.description303
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAPESP [2011/22322-4, 2009/05887-8]
dc.descriptionCNPq [303667/2011-7]
dc.description
dc.description
dc.description
dc.languageen
dc.publisherPACIFIC JOURNAL MATHEMATICS
dc.publisher
dc.publisherBERKELEY
dc.relationPACIFIC JOURNAL OF MATHEMATICS
dc.rightsfechado
dc.sourceWOS
dc.subjectFinite-dimensional Representations
dc.subjectHyper-loop Algebras
dc.subjectMap Algebras
dc.subjectCrystals
dc.titleOn Demazure And Local Weyl Modules For Affine Hyperalgebras
dc.typeArtículos de revistas


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