New identities for Theta operators
Combinatorics
2020-12-14 v1
Abstract
In this article, we prove a new general identity involving the Theta operators introduced by the first author and his collaborators in [D'Adderio, Iraci, Vanden Wyngaerd 2020]. From this result, we can easily deduce several new identities that have combinatorial consequences in the study of Macdonald polynomials and diagonal coinvariants. In particular, we provide a unifying framework from which we recover many identities scattered in the literature, often resulting in drastically shorter proofs.
Keywords
Cite
@article{arxiv.2012.06402,
title = {New identities for Theta operators},
author = {Michele D'Adderio and Marino Romero},
journal= {arXiv preprint arXiv:2012.06402},
year = {2020}
}
Comments
31 pages, 1 figure