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

2004/04/07 by Yucai Su, Su, Yucai · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #math.RT #msc:17B10

paper · pdf · doi:10.48550/arxiv.math/0404154

19 pages

arxiv created 2004/04/08 · arxiv updated 2009/12/01

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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• Lie Superalgebras and Generalized Kazhdan-Lusztig Polynomials

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