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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON DEMAZURE AND LOCAL WEYL MODULES FOR AFFINE HYPERALGEBRAS

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Author(s):
Bianchi, Angelo [1] ; Macedo, Tiago [1] ; Moura, Adriano [2]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: PACIFIC JOURNAL OF MATHEMATICS; v. 274, n. 2, p. 257-303, APR 2015.
Web of Science Citations: 2
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. (AU)

FAPESP's process: 11/22322-4 - Representations of hyper loop algebras and equivariant map algebras
Grantee:Angelo Calil Bianchi
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 09/05887-8 - Characters and cohomology of modules for affine Kac-Moody algebras and generalizations
Grantee:Tiago Rodrigues Macedo
Support Opportunities: Scholarships in Brazil - Doctorate