Mathematics – Combinatorics
Scientific paper
2004-11-12
Adv. in Appl. Math. 36 (2006) 251 - 287
Mathematics
Combinatorics
26 pages
Scientific paper
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.
Ishikawa Masao
Okada Soichi
Tagawa Hiroyuki
Zeng Jiang
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