ON DEMAZURE AND LOCAL WEYL MODULES FOR AFFINE HYPERALGEBRAS

Autor(es)

Bianchi, Angelo ^[1] ; Macedo, Tiago ^[1] ; Moura, Adriano ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP - Brazil

^[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PACIFIC JOURNAL OF MATHEMATICS; v. 274, n. 2, p. 257-303, APR 2015.
• Citações Web of Science: 2

Resumo

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. (AU)

• Processo FAPESP: 11/22322-4 - Representações de hiperálgebras de laços e álgebras de funções equivariantes
• Beneficiário: Angelo Calil Bianchi
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 09/05887-8 - Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações
• Beneficiário: Tiago Rodrigues Macedo
• Linha de fomento: Bolsas no Brasil - Doutorado