2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122395We describe the structure of a Verma module with a generic highest weight at the critical level over a symmetrizable affine Lie superalgebra not of the type A(2k,2l)^{(4)}. We obtain the character formula for a simple module with a generic highest weight at the critical level conjectured by V. G. Kac and D. A. Kazhdan.considerably revised text, including the title; 33 pagesRepresentation Theory17B67text