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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.)

FINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS

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Author(s):
Bianchi, Angelo [1] ; Moura, Adriano [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 42, n. 7, p. 3147-3182, JUL 3 2014.
Web of Science Citations: 2
Abstract

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)

FAPESP's process: 07/07456-9 - Representations of hyper loop algebras and multi current algebras
Grantee:Angelo Calil Bianchi
Support Opportunities: Scholarships in Brazil - Doctorate