Composition factors of Kac-modules for the general linear Lie superalgebras glm|n

Abstract

The composition factors of Kac-modules for the general linear Lie superalgebras glm|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.

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