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On Demazure And Local Weyl Modules For Affine Hyperalgebras
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On Demazure And Local Weyl Modules For Affine Hyperalgebras. Pacific Journal Mathematics, v. 274, p. 257-303 APR-2015.
0030-8730
WOS:000352491200001
10.2140/pjm.2015.274.257
Autor
Bianchi
Angelo; Macedo
Tiago; Moura
Adriano
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. 274 2
257 303 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAPESP [2011/22322-4, 2009/05887-8] CNPq [303667/2011-7]