$c$-functions and Koornwinder polynomials
Combinatorics
2024-10-29 v1
Abstract
This paper develops the theory of Macdonald-Koornwinder polynomials in parallel analogy with the work done for the case in [CR22]. In the context of the type affine root system the Macdonald polynomials of other root systems of classical type are specializations of the Koornwinder polynomials. We derive -function formulas for symmetrizers and use them to give -expansions, principal specializations and norm formulas for bosonic, mesonic and fermionic Koornwinder polynomials. Finally, we explain the proof of the norm conjectures and constant term conjectures for the Koornwinder case.
Cite
@article{arxiv.2410.19957,
title = {$c$-functions and Koornwinder polynomials},
author = {Laura Colmenarejo and Arun Ram},
journal= {arXiv preprint arXiv:2410.19957},
year = {2024}
}