Annales Mathématiques
Blaise Pascal
no. 2
A Note on Free Quantum Groups
[Une Note sur les Groupes Quantiques Libres]
Teodor Banica1
1 Department of Mathematics Paul Sabatier University 118 route de Narbonne 31062 Toulouse, France
Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 135-146.

On étudie l’opération de complexification libre pour les groupes quantiques compacts, G→G c . On montre qu’avec des définitions convenables, cette opération induit une bijection entre groupes quantiques orthogonaux libres de niveau infini, et groupes quantiques unitaires libres satisfaisant G=G c .

We study the free complexification operation for compact quantum groups, G→G c . We prove that, with suitable definitions, this induces a one-to-one correspondence between free orthogonal quantum groups of infinite level, and free unitary quantum groups satisfying G=G c .

DOI : 10.5802/ambp.243
Classification : 16W30
Keywords: Free quantum group
Mot clés : Groupe quantique libre

Teodor Banica 1

1 Department of Mathematics Paul Sabatier University 118 route de Narbonne 31062 Toulouse, France 
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Teodor Banica. A Note on Free Quantum Groups. Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 135-146. doi : 10.5802/ambp.243. https://ambp.centre-mersenne.org/articles/10.5802/ambp.243/

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