Navegando por Palavras-chave "affine Kac-Moody algebras"

Agora exibindo 1 - 1 de 1
  • Nenhuma Miniatura disponível
    Item
    Somente Metadadados
    ON DEMAZURE and LOCAL WEYL MODULES for AFFINE HYPERALGEBRAS
    (Pacific Journal Mathematics, 2015-04-01) Bianchi, Angelo [UNIFESP]; Macedo, Tiago [UNIFESP]; Moura, Adriano; Universidade Federal de São Paulo (UNIFESP); Universidade Estadual de Campinas (UNICAMP)
    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.