Symmetric Jack polynomials from non-symmetric theory
T. H. Baker, Peter J. Forrester
Abstract
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T. H. Baker, Peter J. Forrester
Abstract
Open-access reader
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.
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