no. G10
Algèbre
Procesi’s Conjecture on the Formanek-Weingarten Function is False
Dołȩga, Maciej1 ; Novak, Jonathan2 
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, Tome 360 (2022) no. G10, 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 :
Publié le :
DOI : 10.5802/crmath.391
Dołȩga, Maciej 1 ; Novak, Jonathan 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 
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Dołȩga, Maciej; Novak, Jonathan. Procesi’s Conjecture on the Formanek-Weingarten Function is False. Comptes Rendus. Mathématique, Tome 360 (2022) no. G10, pp. 1169-1172. doi : 10.5802/crmath.391. http://www.numdam.org/articles/10.5802/crmath.391/

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