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Symmetric and antisymmetric vector-valued Jack polynomials

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Publication:624827
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zbMath1205.05241arXiv1001.4485MaRDI QIDQ624827

Charles F. Dunkl

Publication date: 9 February 2011

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4485


zbMATH Keywords

standard modulesJack polynomialsDunkl operatorshook-lengths


Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)


Related Items (7)

Orthogonality measure on the torus for vector-valued Jack polynomials ⋮ A linear system of differential equations related to vector-valued Jack polynomials on the torus ⋮ Generalized Jack polynomials and the representation theory of rational Cherednik algebras ⋮ A superpolynomial version of nonsymmetric Jack polynomials ⋮ Macdonald polynomials as characters of Cherednik algebra modules ⋮ Vector-valued Jack polynomials and wavefunctions on the torus ⋮ Singular nonsymmetric Jack polynomials for some trapeziform tableaux






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