Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
Combinatorics
2020-04-28 v1
Abstract
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam, and Williams. We also introduce a new quasisymmetric analogue of Macdonald polynomials. These "quasisymmetric Macdonald polynomials" refine the (symmetric) Macdonald polynomials and specialize to the quasisymmetric Schur polynomials defined by Haglund, Luoto, Mason, and van Willigenburg.
Cite
@article{arxiv.2004.11907,
title = {Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials},
author = {Sylvie Corteel and Jim Haglund and Olya Mandelshtam and Sarah Mason and Lauren Williams},
journal= {arXiv preprint arXiv:2004.11907},
year = {2020}
}
Comments
29 pages, 11 figures. arXiv admin note: text overlap with arXiv:1912.03390