Comparing formulas for type $G{L}_n$ Macdonald polynomials: Supplement

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 $G{L}_n$ 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 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.

References in corpus (2)

• Row-strict Quasisymmetric Schur Functions, Characterizations of Demazure Atoms, and Permuted Basement Nonsymmetric Macdonald Polynomials
• The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials