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Comparing formulas for type $GL_n$ Macdonald polynomials: Supplement

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arxiv 2104.04578 v1 pith:GF55K4LW submitted 2021-04-08 math.CO math.RT

Weiying Guo , Arun Ram This is my paper · ORCID
classification math.COmath.RT
keywords macdonaldmaterialpolynomialstypearxivexamplesformulasguo-ram
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abstract

This paper is a supplement to Guo-Ram arXiv:2104.02942, containing examples, remarks and additional material that could be useful to researchers working with Type $GL_n$ Macdonald polynomials. In the course of our comparison of the alcove walk formula and the nonattacking fillings formulas for type $GL_n$ Macdonald polynomials we did many examples and significant analysis of the literature. In the preparation of Guo-Ram arXiv:2104.02942 it seemed sensible to produce a document with focus and this material was removed. This is paper resurrects and organizes that material, in hopes that others may also find it useful.

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  1. Formulas for Koornwinder polynomials

    math.CO 2026-08 conditional novelty 7.0 of 10

    New uncompressed and compressed set-valued tableaux formulas give explicit monomial expansions for all relative Koornwinder polynomials.

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