4 papers
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…
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…
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…
Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations
Hadewijch De Clercq, Nicolai Reshetikhin, Jasper Stokman
We extend the graphical calculus developed in the first part of this paper to the parametrising spaces of quantum vertex operators. This involves a graphical implementation of the…