• Corpus ID: 9798067

# Symmetric and Antisymmetric Vector-valued Jack Polynomials

@article{Dunkl2010SymmetricAA,
title={Symmetric and Antisymmetric Vector-valued Jack Polynomials},
author={Charles F. Dunkl},
journal={arXiv: Combinatorics},
year={2010}
}
• C. Dunkl
• Published 25 January 2010
• Mathematics
• arXiv: Combinatorics
Polynomials with values in an irreducible module of the symmetric group can be given the structure of a module for the rational Cherednik algebra, called a standard module. This algebra has one free parameter and is generated by differential-difference ("Dunkl") operators, multiplication by coordinate functions and the group algebra. By specializing Griffeth's (arXiv:0707.0251) results for the G(r,p,n) setting, one obtains norm formulae for symmetric and antisymmetric polynomials in the…
8 Citations

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Vector-valued Jack polynomials associated to the symmetric group SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik–Dunkl

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Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale, toute copie ou impressions de ce fichier doit contenir la présente mention de copyright.

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