# ALGEBRAIC COMBINATORICS

Comparing formulas for type $G{L}_{n}$ Macdonald polynomials – Supplement
Algebraic Combinatorics, Volume 5 (2022) no. 5, pp. 885-923.

This paper is a supplement to [5], containing examples, remarks and additional material that could be useful to researchers working with Type $G{L}_{n}$ Macdonald polynomials. In the course of our comparison of the alcove walk formula and the nonattacking fillings formulas for type $G{L}_{n}$ Macdonald polynomials we did many examples and significant analysis of the literature. In the preparation of [5] 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.

Accepted:
Revised after acceptance:
Published online:
DOI: 10.5802/alco.228
Classification: 05E05,  33D52
Keywords: Macdonald polynomials, affine Hecke algebras, tableaux
Guo, Weiying 1; Ram, Arun 2

1 University of Melbourne School of Mathematics and Statistics Parkville Victoria 3010 Melbourne (Australia)
2 University of Melbourne School of Mathematics and Statistics Parkville Vic 3010 Melbourne (Australia)
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Guo, Weiying; Ram, Arun. Comparing formulas for type $GL_n$ Macdonald polynomials – Supplement. Algebraic Combinatorics, Volume 5 (2022) no. 5, pp. 885-923. doi : 10.5802/alco.228. https://alco.centre-mersenne.org/articles/10.5802/alco.228/

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