2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66193We 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 AlgebraRepresentation Theory17B65; 17B68text