Complete reducibility of integrable modules for the affine Lie(super) algebras
arXiv:math/0301049
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.
16 pages. To appear in Journal of Algebra