Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
Combinatorics
2019-12-10 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 at to the quasisymmetric Schur polynomials defined by Haglund, Luoto, Mason, and van Willigenburg. This is an extended abstract.
Cite
@article{arxiv.1912.03390,
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:1912.03390},
year = {2019}
}
Comments
10 pages, 4 figures