Representations of Graded Multi-Loop Lie Algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let g_A (respectively, g_A(μ)) be the graded multi-loop Lie algebra (respectively graded twisted multi-loop Lie algebra)" associated with the simple finite dimensional Lie algebra g over the complex field C. In this paper, we prove that irreducible integrable g_A(μ)-modules with finite dimensional weight spaces are either highest weight modules or their duals and classify the isomorphism classes of irreducible integrable g_A-modules and g_A(μ)-modules with finite dimensional weight spaces.
Contents Changed

Keywords

Representation Theory, Rings and Algebras

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/168531

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0448
 http://arxiv.org/abs/0706.0448

Collections

arXiv