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arXiv:math/0612845 [math.RT]AbstractReferencesReviewsResources

A combinatorial proof of a Weyl type formula for hook Schur polynomials

Jae-Hoon Kwon

Published 2006-12-29, updated 2007-02-02Version 2

In this paper, we present a simple combinatorial proof of a Weyl type formula for hook Schur polynomials, which has been obtained by using a Kostant type cohomology formula for $\frak{gl}_{m|n}$. In general, we can obtain in a combinatorial way a Weyl type formula for various highest weight representations of a Lie superalgebra, which together with a general linear algebra forms a Howe dual pair.

Comments: 21 pages
Categories: math.RT, math.CO
Subjects: 17B10
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