Spherical and Whittaker functions via DAHA. I.

DOI10.1007/s00029-012-0110-6zbMath1293.20005OpenAlexW2088038775MaRDI QIDQ361795

Xiaoguang Ma, Ivan V. Cherednik

Publication date: 19 August 2013

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-012-0110-6

zbMATH Keywords

Macdonald polynomialsdouble affine Hecke algebrasSatake isomorphism\(p\)-adic spherical functionsHall functionsMatsumoto functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08) Analysis on (p)-adic Lie groups (22E35) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (7)

Affine Hecke algebras via DAHA ⋮ Iwahori-Hecke algebras for \(p\)-adic loop groups ⋮ Hecke modules from metaplectic ice ⋮ Spherical and Whittaker functions via DAHA. II. ⋮ DAHA approach to iterated torus links ⋮ Whittaker functions and Demazure operators ⋮ Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules

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