Jacobi-Trudy formula for generalised Schur polynomials

2009/05/15 by A. N. Sergeev, Sergeev, A. N., А. П. Веселов +2
Mathematics · #33D50 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Representation Theory (math.RT) #math.CA #math.RT #msc:33D50

paper · pdf · doi:10.48550/arxiv.0905.2557

Extended version: Giambelli formula is added

openalex publication_date 2009/05/15 · arxiv created 2009/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Jacobi-Trudy formula for a generalisation of Schur polynomials related to any sequence of orthogonal polynomials in one variable is given. As a corollary we have Giambelli formula for generalised Schur polynomials.

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