Procesi's Conjecture on the Formanek-Weingarten Function is False
Combinatorics
2022-10-07 v3 Mathematical Physics
math.MP
Abstract
In this paper, we disprove a recent monotonicity conjecture of C. Procesi on the generating function for monotone walks on the symmetric group, an object which is equivalent to the Weingarten function of the unitary group.
Cite
@article{arxiv.2203.08714,
title = {Procesi's Conjecture on the Formanek-Weingarten Function is False},
author = {Maciej Dołęga and Jonathan Novak},
journal= {arXiv preprint arXiv:2203.08714},
year = {2022}
}
Comments
4 pages