c-functions and Macdonald polynomials
Combinatorics
2022-12-08 v1 Representation Theory
Abstract
This is a paper about -functions and Macdonald polynomials. There are -function formulas for -expansions of and , principal specializations of and , for Macdonald's constant term formulas, and for the norms of Macdonald polynomials. Most of these follow from the creation formulas for Macdonald polynomials, providing alternative proofs to several results from Macdonald (2003). In addition, we prove the Boson-Fermion correspondence in the Macdonald polynomial setting and the Weyl character formula for Macdonald polynomials.
Cite
@article{arxiv.2212.03312,
title = {c-functions and Macdonald polynomials},
author = {Laura Colmenarejo and Arun Ram},
journal= {arXiv preprint arXiv:2212.03312},
year = {2022}
}