Braided free orthogonal quantum groups

Abstract

We construct some braided quantum groups over the circle group. These are analogous to the free orthogonal quantum groups and generalise the braided quantum SU(2) groups for complex deformation parameter. We describe their irreducible representations and fusion rules and study when they are monoidally equivalent.

17 pages; some changes to notation, added Lemma 2.10, corrected Proposition 3.4, and clarified a few points

References in corpus (3)

• Quantum group-twisted tensor products of C*-algebras II
• Braided quantum SU(2) groups
• Semidirect products of C*-quantum groups: multiplicative unitaries approach

Cited by in corpus (4)

• Braided quantum symmetries of graph ${\mathrm{C}}^{\ast }$-algebras
• Cocycle twisting of semidirect products and transmutation
• Anyonic quantum symmetries of finite spaces
• Braided quantum groups and their bosonizations in the $C^{\ast }$-algebraic framework