Specializing Koornwinder polynomials to Macdonald polynomials of type $B,C,D$ and $B C$
Quantum Algebra
2021-05-04 v1 Representation Theory
Abstract
We study the specializations of parameters in Koornwinder polynomials to obtain Macdonald polynomials associated to the subsystems of the affine root system of type in the sense of Macdonald (2003), and summarize them in what we call the specialization table. As a verification of our argument, we check the specializations to type and via Ram-Yip type formulas of non-symmetric Koornwinder and Macdonald polynomials.
Keywords
Cite
@article{arxiv.2105.00936,
title = {Specializing Koornwinder polynomials to Macdonald polynomials of type $B,C,D$ and $B C$},
author = {Kohei Yamaguchi and Shintarou Yanagida},
journal= {arXiv preprint arXiv:2105.00936},
year = {2021}
}
Comments
31 pp