Cain Edie-Michell
University of New Hampshire
Title
Super-transitivity for quantum subgroups
Abstract
We introduce a notion of super-transitivity for quantum subgroups (= etale algebra objects) in the quantum group categories of type A. This is a direct analogue of the notion of super-transitivity for subfactors. Super-transitivity is a measure of the “smallest” non-trivial summand of the etale algebra A. Equivalently, super-transitivity measures the size of a new generator in the category of A-modules. I will discuss the classification of 1-super-transitive quantum subgroups, conjectures for higher super-transitivity, and progress towards these conjectures.
For More Information About the Seminar
Please email David Penneys (penneys.2@osu.edu) for the Zoom link
