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arXiv · 2105.00936

Specializing Koornwinder polynomials to Macdonald polynomials of type $B,C,D$ and $B C$

Kohei Yamaguchi·Shintarou Yanagida
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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 $(C_n^\vee,C_n)$ 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 $B,C$ and $D$ via Ram-Yip type formulas of non-symmetric Koornwinder and Macdonald polynomials.

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Kohei Yamaguchi, Shintarou Yanagida. 2021-05-03. Specializing Koornwinder polynomials to Macdonald polynomials of type $B,C,D$ and $B C$. https://arxiv.org/abs/2105.00936

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