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Procesi’s Conjecture on the Formanek-Weingarten Function is False
Maciej Dołȩga1 ; Jonathan Novak2 
1 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956 Warszawa, Poland
2 Department of Mathematics, University of California, San Diego, USA
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1169-1172.

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.

Reçu le :
Accepté le :
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DOI : 10.5802/crmath.391
Maciej Dołȩga 1 ; Jonathan Novak 2

1 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956 Warszawa, Poland
2 Department of Mathematics, University of California, San Diego, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Maciej Dołȩga; Jonathan Novak. Procesi’s Conjecture on the Formanek-Weingarten Function is False. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1169-1172. doi : 10.5802/crmath.391. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.391/

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