Generalizations of Cauchy's determinant and Schur's Pfaffian

Generalizations of Cauchy's determinant and Schur's Pfaffian
复制标题

DOI：
10.1016/j.aam.2005.07.001
复制
发表时间：
2004-11
期刊：
Adv. Appl. Math.
影响因子：
--
通讯作者：
M. Ishikawa;S. Okada;H. Tagawa;Jiang Zeng
M. Ishikawa;S. Okada;H. Tagawa;Jiang Zeng
中科院分区：
其他
文献类型：
--
作者：
M. Ishikawa;S. Okada;H. Tagawa;Jiang Zeng

文献摘要

被引文献

相似文献

给出了涉及广义Vandermonde行列式的柯西型行列式和舒尔型Pfaffian的几个恒等式，推广了柯西行列式Det(1/(xi+yj))和Schur的Pfaffian Pfaffian((xj−xi)/(xj+xi))。S.Okada和T.Sundquist给出了这些恒等式的一些特殊情况。作为应用，我们给出了涉及矩形划分的Littlewood-Richardson系数的关系式。
We present several identities of Cauchy-type determinants and Schur-type Pfaffians involving generalized Vandermonde determinants, which generalize Cauchy's determinant det(1/(xi+yj)) and Schur's Pfaffian Pf((xj−xi)/(xj+xi)). Some special cases of these identities are given by S. Okada and T. Sundquist. As an application, we give a relation for the Littlewood–Richardson coefficients involving a rectangular partition.