Generalizations of Cauchy's Determinant and Schur's Pfaffian
classification
🧮 math.CO
keywords
cauchydeterminantformulaegeneralizationspfaffianschurapplicationcases
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.