scientific article; zbMATH DE number 558954

DOI10.1155/S1073792893000170zbMath0804.17005OpenAlexW2623672772MaRDI QIDQ4289011

Ivan V. Cherednik

Publication date: 28 April 1994

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

Full work available at URL: https://doi.org/10.1155/s1073792893000170

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zbMATH Keywords

root systemsdifference Heckman-Opdam operatorsdifference shift operatorsMacdonald orthogonal polynomialsMacdonald's constant-term conjecture

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (9)

Elliptic quantum many-body problem and double affine Knizhnik- Zamolodchikov equation ⋮ Harmonic analysis for certain representations of graded Hecke algebras ⋮ Constant term identities and Poincaré polynomials ⋮ Generalized Macdonald-Ruijsenaars systems. ⋮ Some limit relations in the \(A_{1}\) tableau of Dunkl-Cherednik operators ⋮ Lectures on affine Hecke algebras and Macdonald’s conjectures ⋮ On elliptic product formulas for Jackson integrals associated with reduced root systems ⋮ The rational Cherednik algebra of type \(A_1\) with divided powers ⋮ The Hilbert series of the irreducible quotient of the polynomial representation of the rational Cherednik algebra of type An−1 in characteristic p for p|n − 1

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