scientific article; zbMATH DE number 2135030
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Publication:4650704
DOI10.1155/S1073792804140610zbMath1078.33017arXivmath/0403277OpenAlexW1915491850MaRDI QIDQ4650704
Publication date: 18 February 2005
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403277
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
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Hook-lengths and pairs of compositions ⋮ Connections between vector-valued and highest weight Jack and Macdonald polynomials ⋮ Unitary representations of the Cherednik algebra: \(V^*\)-homology ⋮ Parabolic degeneration of rational Cherednik algebras ⋮ Singular polynomials for the rational Cherednik algebra for \(G(r, 1, 2)\) ⋮ Singular polynomials from orbit spaces ⋮ Rational Cherednik algebras and Hilbert schemes. II: Representations and sheaves ⋮ Orthogonal functions generalizing Jack polynomials ⋮ Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal ⋮ 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 ⋮ Singular nonsymmetric Jack polynomials for some trapeziform tableaux
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