2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70786The composition factors of Kac-modules for the general linear Lie superalgebras $gl_{m|n}$ are explicitly determined. In particular, a conjecture of Hughes, King and van der Jeugt in [J. Math. Phys., 41 (2000), 5064-5087] is proved.19 pagesQuantum AlgebraRepresentation Theory17B10text