Moscow Mathematical Journal

Volume 14, Issue 1, January–March 2014 pp. 161–168.

Jacobi–Trudy Formula for Generalized Schur Polynomials

Authors: A.N. Sergeev (1) and A.P. Veselov (2)
Author institution: (1) Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia and
Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK
(2) Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK and
Department of Mathematics and Mechanics, Moscow State University, Moscow, 119899, Russia
Summary:

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.

2010 Mathematics Subject Classification. 05E05, 05E10.

Keywords: Symmetric functions, orthogonal polynomials, Jacobi–Trudy formula.

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