ON DEMAZURE and LOCAL WEYL MODULES for AFFINE HYPERALGEBRAS

ON DEMAZURE and LOCAL WEYL MODULES for AFFINE HYPERALGEBRAS

Author Bianchi, Angelo Autor UNIFESP Google Scholar
Macedo, Tiago Autor UNIFESP Google Scholar
Moura, Adriano Google Scholar
Institution Universidade Federal de São Paulo (UNIFESP)
Universidade Estadual de Campinas (UNICAMP)
Abstract We 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.
Keywords Weyl modules
Demazure modules
hyperalgebras
affine Kac-Moody algebras
twisted affine algebras
Language English
Sponsor Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Grant number FAPESP: 2011/22322-4
FAPESP: 2009/05887-8
CNPq: 303667/2011-7
Date 2015-04-01
Published in Pacific Journal of Mathematics. Berkeley: Pacific Journal Mathematics, v. 274, n. 2, p. 257-303, 2015.
ISSN 0030-8730 (Sherpa/Romeo, impact factor)
Publisher Pacific Journal Mathematics
Extent 257-303
Origin http://dx.doi.org/10.2140/pjm.2015.274.257
Access rights Closed access
Type Article
Web of Science ID WOS:000352491200001
URI http://repositorio.unifesp.br/handle/11600/38985

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