Unitary representations of affine Hecke algebras related to Macdonald spherical functions

DOI10.1016/j.jalgebra.2012.01.005zbMath1247.05262arXiv1209.3291OpenAlexW2088650876MaRDI QIDQ448405

E. Emsiz, Jan Felipe van Diejen

Publication date: 6 September 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3291

zbMATH Keywords

spherical functionssymmetric functionsaffine Hecke algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (3)

Discrete harmonic analysis on a Weyl alcove ⋮ Affine Pieri rule for periodic Macdonald spherical functions and fusion rings ⋮ Diagonalization of the infinite \(q\)-boson system

Cites Work

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• Pieri formulas for Macdonald's spherical functions and polynomials
• Yang's system of particles and Hecke algebras
• Periodic integrable systems with delta-potentials
• Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux.
• Integrable systems with Delta-potential
• On the Plancherel formula for the (discrete) Laplacian in a Weyl chamber with repulsive boundary conditions at the Walls
• Buildings and Hecke algebras.
• Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra
• Completely integrable systems and groups generated by reflections
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
• Spherical functions on a 𝔭-adic Chevalley group
• A Note on the Multiplication of Hall Functions

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