Generalizations of Cauchy's Determinant and Schur's Pfaffian
Combinatorics
2007-05-23 v2
Abstract
We present several generalizations of Cauchy's determinant and Schur's Pfaffian by considering matrices whose entries involve some generalized Vandermonde determinants. Special cases of our formulae include previuos formulae due to S.Okada and T. Sundquist. As an application, we give a relation for the Littlewood--Richardson coefficients involving a rectangular partition.
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Cite
@article{arxiv.math/0411280,
title = {Generalizations of Cauchy's Determinant and Schur's Pfaffian},
author = {Masao Ishikawa and Soichi Okada and Hiroyuki Tagawa and Jiang Zeng},
journal= {arXiv preprint arXiv:math/0411280},
year = {2007}
}
Comments
26 pages