Multivariable Wilson polynomials and degenerate Hecke algebras
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Publication:1039327
DOI10.1007/s00029-009-0005-3zbMath1179.33018arXiv0710.3078OpenAlexW1982118867MaRDI QIDQ1039327
Publication date: 27 November 2009
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.3078
Hecke algebras and their representations (20C08) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Orthogonal polynomials and functions associated with root systems (33C52)
Related Items (4)
The \(\mathbb{Z}_2^n\) Dirac-Dunkl operator and a higher rank Bannai-Ito algebra ⋮ Discrete harmonic analysis on a Weyl alcove ⋮ Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions ⋮ The non-symmetric Wilson polynomials are the Bannai–Ito polynomials
Cites Work
- Fourier transforms related to a root system of rank 1
- Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- Deformed preprojective algebras and symplectic reflection algebras for wreath products.
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- New deformations of group algebras of Coxeter groups. II.
- A generalization of Selberg’s beta integral
- Generalized double affine Hecke algebras of higher rank
- Some Hypergeometric Orthogonal Polynomials
- Properties of some families of hypergeometric orthogonal polynomials in several variables
- Limit Transitions for BC Type Multivariable Orthogonal Polynomials
- Multivariable continuous Hahn and Wilson polynomials related to integrable difference systems
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