Induced representations of double affine Hecke algebras and applications

DOI10.4310/MRL.1994.v1.n3.a4zbMath0837.20052OpenAlexW2018743078MaRDI QIDQ1901659

Ivan V. Cherednik

Publication date: 16 November 1995

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1994.v1.n3.a4

zbMATH Keywords

Weyl groupstensor productsinduced representationsdouble affine Hecke algebrasDemazure-Lusztig operators

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Difference operators (39A70) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Root systems (17B22)

Related Items (11)

Spin-Ruijsenaars, \(\mathsf{q}\)-deformed Haldane-Shastry and Macdonald polynomials ⋮ Macdonald's evaluation conjectures and difference Fourier transform ⋮ Spherical and Whittaker functions via DAHA. II. ⋮ Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and \(R\)-matrix identities ⋮ Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems ⋮ Connection coefficients for basic Harish-Chandra series ⋮ Representations of the quantum toroidal algebra on highest weight modules of the quantum affine algebra of type \({\mathfrak {gl}}_N\) ⋮ A solution to quantum Knizhnik-Zamolodchikov equations and its application to eigenvalue problems of the Macdonald type ⋮ Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors ⋮ Book Review: Double affine Hecke algebras ⋮ Connection problems for quantum affine KZ equations and integrable lattice models

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