Orthogonal functions generalizing Jack polynomials

DOI10.1090/S0002-9947-2010-05156-6zbMath1283.05264arXiv0707.0251OpenAlexW2130688938MaRDI QIDQ3056583

Stephen Griffeth

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0251

Mathematics Subject Classification ID

Related Items (29)

Unitary representations of type B rational Cherednik algebras and crystal combinatorics ⋮ Proof of Varagnolo-Vasserot conjecture on cyclotomic categories \(\mathcal{O}\) ⋮ The smallest singular values and vector-valued Jack polynomials ⋮ 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 ⋮ Highest weight 𝔰𝔩₂-categorifications II: Structure theory ⋮ Unitary representations of cyclotomic rational Cherednik algebras ⋮ Unitary representations of the Cherednik algebra: \(V^*\)-homology ⋮ Generalized Jack polynomials and the representation theory of rational Cherednik algebras ⋮ Parabolic degeneration of rational Cherednik algebras ⋮ Rational Cherednik algebras of \(G (\ell, p, n)\) from the Coulomb perspective ⋮ Blocks of restricted rational Cherednik algebras for \(G(m,d,n)\). ⋮ A positive-definite inner product for vector-valued Macdonald polynomials ⋮ A superpolynomial version of nonsymmetric Jack polynomials ⋮ Singular polynomials for the rational Cherednik algebra for \(G(r, 1, 2)\) ⋮ The diagonal coinvariant ring of a complex reflection group ⋮ Representation theory and the diagonal coinvariant ring of the type B Weyl group ⋮ ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ Unitary representations of rational Cherednik algebras ⋮ Macdonald polynomials as characters of Cherednik algebra modules ⋮ Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal ⋮ Nonsymmetric Macdonald superpolynomials ⋮ Rational Cherednik algebras and Schubert cells ⋮ Jack polynomials and the coinvariant ring of 𝐺(𝑟,𝑝,𝑛) ⋮ Vector-valued Jack polynomials and wavefunctions on the torus ⋮ Character formulas and Bernstein–Gelfand–Gelfand resolutions for Cherednik algebra modules ⋮ Reflection groups in analysis and applications ⋮ Some singular vector-valued Jack and Macdonald polynomials ⋮ Singular nonsymmetric Jack polynomials for some trapeziform tableaux

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