Quantum subgroups of the compact quantum group SU_{-1}(3)

Julien Bichon (1) , Robert Yuncken (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

We study the (compact) quantum subgroups of the compact quantum group $SU_{-1}(3)$: we show that any non-classical such quantum subgroup is a twist of a compact subgroup of $SU(3)$ or is isomorphic to a quantum subgroup of $U_{-1}(2)$.

Domaines: Algèbres quantiques [math.QA]; Algèbres d'opérateurs [math.OA]

Julien Bichon, Robert Yuncken. Quantum subgroups of the compact quantum group SU_{-1}(3). Bulletin of the London Mathematical Society, 2014, 46 (2), pp.315-328. ⟨10.1112/blms/bdt105⟩. ⟨hal-00838728⟩