A. N. Sergeev, A. P. Veselov, “Jacobi–Trudy formula for generalized Schur polynomials”, Mosc. Math. J., 2014, Volume 14, Number 1,Pages <nobr>161

This article is cited in 14 papers

Jacobi–Trudy formula for generalized Schur polynomials

A. N. Sergeev^ab, A. P. Veselov^ca

^a Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK
^b Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia
^c Department of Mathematics and Mechanics, Moscow State University, Moscow, 119899, Russia

Abstract: Jacobi–Trudy formula for a generalization of Schur polynomials related to any sequence of orthogonal polynomials in one variable is given. As a corollary we have Giambelli formula for generalized Schur polynomials.

Key words and phrases: symmetric functions, orthogonal polynomials, Jacobi–Trudy formula.

MSC: 05E05, 05E10

Received: June 25, 2010; in revised form June 15, 2013

Language: English

DOI: 10.17323/1609-4514-2014-14-1-161-168