Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Stokman, Jasper
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214198
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials. Jasper Stokman. SIGMA 21 (2025), 086, 42 pages

In a recent joint paper with S. Sahi and V. Venkateswaran (2025), families of actions of the double affine Hecke algebra on spaces of quasi-polynomials were introduced. These so-called quasi-polynomial representations led to the introduction of quasi-polynomial extensions of the nonsymmetric Macdona...