Abstract
We present several generalizations of Cauchy's determinant det (1=(x i + y j)) and Schur's Pfaffian Pf ((x j - x i)=(x j + x i)) by considering matrices whose entries involve some generalized Vandermonde determinants. Special cases of our formulae include previous formulae due to S. Okada and T. Sundquist. As an application, we give a relation for the Littlewood- Richardson coefficients involving a rectangular partition.
Original language | English |
---|---|
Pages | 231-242 |
Number of pages | 12 |
Publication status | Published - Dec 1 2005 |
Externally published | Yes |
Event | 17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 - Taormina, Italy Duration: Jun 20 2005 → Jun 25 2005 |
Other
Other | 17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 |
---|---|
Country | Italy |
City | Taormina |
Period | 6/20/05 → 6/25/05 |
ASJC Scopus subject areas
- Algebra and Number Theory