1997arXiv (Cornell University)Open access

Symmetric Jack polynomials from non-symmetric theory

T. H. Baker, Peter J. Forrester

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Abstract

The theory of non-symmetric Jack polynomials is developed independently of the theory of symmetric Jack polynomials, and this theory together with the relationship between the non-symmetric, symmetric and anti-symmetric Jack polynomials is used to deduce the corresponding results for the symmetric Jack polynomials.

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The theory of non-symmetric Jack polynomials is developed independently of the theory of symmetric Jack polynomials, and this theory together with the relationship between the non-symmetric, symmetric and anti-symmetric Jack polynomials is used to deduce the corresponding results for the symmetric Jack polynomials.

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Available abstract

The theory of non-symmetric Jack polynomials is developed independently of the theory of symmetric Jack polynomials, and this theory together with the relationship between the non-symmetric, symmetric and anti-symmetric Jack polynomials is used to deduce the corresponding results for the symmetric Jack polynomials.

Key concepts: Complete homogeneous symmetric polynomial, Ring of symmetric functions, Power sum symmetric polynomial, Elementary symmetric polynomial, Stanley symmetric function, Schur polynomial, Symmetric polynomial, Symmetric function

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