FINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS

Autor(es)

Bianchi, Angelo ^[1] ; Moura, Adriano ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 42, n. 7, p. 3147-3182, JUL 3 2014.
• Citações Web of Science: 2

Resumo

We investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper-loop algebras are isomorphic to appropriate simple and Weyl modules for the nontwisted hyper-loop algebras, respectively, via restriction of the action. (AU)

• Processo FAPESP: 07/07456-9 - Representações de hiperálgebras de laços e álgebras de multi-correntes
• Beneficiário: Angelo Calil Bianchi
• Modalidade de apoio: Bolsas no Brasil - Doutorado