Irreducible Integrable Representations of Toroidal Lie Algebras
Representation Theory
2016-09-28 v2
Abstract
The irreducible integrable representations with finite-dimensional weight spaces of toroidal Lie algebras on which the center acts non-trivially were classified by S.Eswara Rao. In this paper we give a compact proof of the results that lead to the classification theorem. Further we establish a necessary and sufficient condition under which two such irreducible modules are isomorphic.
Keywords
Cite
@article{arxiv.1607.04389,
title = {Irreducible Integrable Representations of Toroidal Lie Algebras},
author = {Tanusree Khandai},
journal= {arXiv preprint arXiv:1607.04389},
year = {2016}
}
Comments
20 pages, Section 4 has been rewritten