scientific article; zbMATH DE number 2246202

DOI10.1155/IMRN.2005.2409zbMath1102.33012arXivmath/0501494OpenAlexW2962851172MaRDI QIDQ5717216

Charles F. Dunkl

Publication date: 12 January 2006

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501494

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zbMATH Keywords

Jack polynomialsDunkl operatorsMurphy elementssingular polynomials

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (12)

Unitary representations of the Cherednik algebra: \(V^*\)-homology ⋮ Parabolic degeneration of rational Cherednik algebras ⋮ Generalized Calogero-Moser systems from rational Cherednik algebras ⋮ Singular polynomials for the rational Cherednik algebra for \(G(r, 1, 2)\) ⋮ Unitary representations of rational Cherednik algebras ⋮ Singular polynomials from orbit spaces ⋮ Orthogonal functions generalizing Jack polynomials ⋮ Parity-Unimodality and a Cyclic Sieving Phenomenon for Necklaces ⋮ Paley–Wiener theorems for the Dunkl transform ⋮ Singular nonsymmetric Macdonald polynomials and quasistaircases ⋮ Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras ⋮ Reflection groups in analysis and applications

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