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Home > Vol 28, No 4 (2008)

Jae-Hoon Kwon

University of Seoul Department of Mathematics 90 Cheonnong-dong, Dongdaemun-gu Seoul 130-743 South Korea

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

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