Benjamin Anderson-Sackaney, University of Saskatchewan
"Amenability of Fusion Modules and Coideals"
The coideals of a quantum group offer a quantum analogue of a subgroup of a group. For certain classes of coideals there is an obvious quantum analogue of a quasi-regular representation. For a larger class of coideals recently introduced by De Commer and Dzokou Talla, namely, the so-called $g$-integral coideals, we will introduce a notion of a $g$-quasi-regular representation. We will then define a notion of $g$-coamenability that generalizes the notion of a coamenable inclusion of groups. We will also introduce a notion of amenability of a fusion module equipped with a dimension function that is compatible with a dimension function on the given fusion algebra. This notion gives a characterization of $g$-coamenability at the tensor categorical level.
This seminar will be held both online and in person:
- Room: MC 5479
- Zoom link: https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09