Ralf Meyer, Sutanu Roy
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.
Ralf Meyer, Sutanu Roy
This paper contains 4 sections, 15 theorems, 60 equations.
Theorem 1.8
If $d$ is even, then the braided orthogonal quantum group $A_o(V,\pi,\omega)$ has irreducible representations $r_{(k,l)}$ for $k\in\mathbb N$, $l\in\mathbb Z$, such that any irreducible representation is unitarily equivalent to exactly one of these and $\overline{r_{(k,l)}} = r_{(k,-l)}$ and If $d$ is odd, then a similar statement holds, but we only allow those representations where $a-b$ is even
