Procesi's Conjecture on the Formanek-Weingarten Function is False
arXiv:2203.08714 · doi:10.5802/crmath.391
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.
arXiv comment4 pages