Generalizations of Cauchy's Determinant and Schur's Pfaffian

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dc.creatorIshikawa, Masao
dc.creatorOkada, Soichi
dc.creatorTagawa, Hiroyuki
dc.creatorZeng, Jiang
dc.date2004-11-12
dc.date2005-09-04
dc.date.accessioned2026-07-07T06:27:39Z
dc.date.available2026-07-07T06:27:39Z
dc.descriptionWe 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.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0411280
dc.identifierhttp://arxiv.org/abs/math/0411280
dc.identifierAdv. in Appl. Math. 36 (2006) 251 - 287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97474
dc.subjectCombinatorics
dc.subject05A15; 05E05; 15A15
dc.titleGeneralizations of Cauchy's Determinant and Schur's Pfaffian
dc.typetext

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