On étudie l’opération de complexification libre pour les groupes quantiques compacts, . 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 .
We study the free complexification operation for compact quantum groups, . 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 .
Keywords: Free quantum group
Mot clés : Groupe quantique libre
@article{AMBP_2008__15_2_135_0, author = {Banica, Teodor}, title = {A {Note} on {Free} {Quantum} {Groups}}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {135--146}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {15}, number = {2}, year = {2008}, doi = {10.5802/ambp.243}, zbl = {1188.46043}, mrnumber = {2468039}, language = {en}, url = {http://www.numdam.org/articles/10.5802/ambp.243/} }
TY - JOUR AU - Banica, Teodor TI - A Note on Free Quantum Groups JO - Annales mathématiques Blaise Pascal PY - 2008 SP - 135 EP - 146 VL - 15 IS - 2 PB - Annales mathématiques Blaise Pascal UR - http://www.numdam.org/articles/10.5802/ambp.243/ DO - 10.5802/ambp.243 LA - en ID - AMBP_2008__15_2_135_0 ER -
Banica, Teodor. A Note on Free Quantum Groups. Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 135-146. doi : 10.5802/ambp.243. http://www.numdam.org/articles/10.5802/ambp.243/
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