A combinatorial proof of a Weyl type formula for hook Schur polynomials
表示论
2007-05-23 v2 组合数学
摘要
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 . 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.
引用
@article{arxiv.math/0612845,
title = {A combinatorial proof of a Weyl type formula for hook Schur polynomials},
author = {Jae-Hoon Kwon},
journal= {arXiv preprint arXiv:math/0612845},
year = {2007}
}
备注
21 pages