Representations of Graded Multi-Loop Lie Algebras
Representation Theory
2008-09-09 v3 Rings and Algebras
Abstract
Let g_A (respectively, g_A(\mu)) 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(\mu)-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(\mu)-modules with finite dimensional weight spaces.
Cite
@article{arxiv.0706.0448,
title = {Representations of Graded Multi-Loop Lie Algebras},
author = {Tanusree Pal and Punita Batra},
journal= {arXiv preprint arXiv:0706.0448},
year = {2008}
}