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math.RT2025
Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials
Jasper Stokman
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-ca…
math.RT2025
Quasi-polynomial representations of double affine Hecke algebras
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran
We introduce an explicit family of representations of the double affine Hecke algebra acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lus…
math.RT2025
Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains
Nicolai Reshetikhin, Jasper Stokman
Asymptotic boundary KZB equations describe the consistency conditions of degenerations of correlation functions for boundary Wess-Zumino-Witten-Novikov conformal field theory on a…