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Composition factors of Kac-modules for the general linear Lie superalgebras $gl_{m|n}$

Yucai Su
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Abstract

The 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.

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Yucai Su. 2004-04-08. Composition factors of Kac-modules for the general linear Lie superalgebras $gl_{m|n}$. https://arxiv.org/abs/math/0404154

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