Complete reducibility of integrable modules for the affine Lie(super) algebras
Representation Theory
2007-05-23 v1
Abstract
We prove complete reducibility for an integrable module for an affine Lie algebra where the canonical central element acts non-trivially. We further prove that integrable modules does not exists for most of the super affine Lie algebras where the center acts non-trivially.
Keywords
Cite
@article{arxiv.math/0301049,
title = {Complete reducibility of integrable modules for the affine Lie(super) algebras},
author = {S. Eswara Rao},
journal= {arXiv preprint arXiv:math/0301049},
year = {2007}
}
Comments
16 pages. To appear in Journal of Algebra