Five-term relation and Macdonald polynomials
Combinatorics
2018-12-11 v2 Quantum Algebra
Representation Theory
Abstract
The non-commutative five-term relation is shown to hold for certain operators acting on symmetric functions. The "generalized recursion" conjecture of Bergeron and Haiman is a corollary of this result.
Keywords
Cite
@article{arxiv.1604.08655,
title = {Five-term relation and Macdonald polynomials},
author = {Adriano Garsia and Anton Mellit},
journal= {arXiv preprint arXiv:1604.08655},
year = {2018}
}
Comments
Some mistakes are corrected and the proof is substantially expanded. Accepted in JCTA