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Procesi’s Conjecture on the Formanek-Weingarten Function is False

Authors :
Dołȩga, Maciej
Novak, Jonathan
Source :
Comptes Rendus. Mathématique, Vol 360, Iss G10, Pp 1169-1172 (2022)
Publication Year :
2022
Publisher :
Académie des sciences, 2022.

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.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English, French
ISSN :
17783569
Volume :
360
Issue :
G10
Database :
Directory of Open Access Journals
Journal :
Comptes Rendus. Mathématique
Publication Type :
Academic Journal
Accession number :
edsdoj.2bfc845e9ce8489e97e9f76f84c0ba0c
Document Type :
article
Full Text :
https://doi.org/10.5802/crmath.391