Global dimensions for fusion categories of type (G,k)
Speaker: Robert Coquereaux, CPT Marseille / CNRS
Abstract: The global dimension of a fusion category, or of a module over a fusion category, is the sum of squares of quantum dimensions for its simple objects. It is a quantum analog of the order of a finite group. This number also possesses an interpretation as the value of a functional integral over S3, associated with the Chern-Simon action for the group G, at level k (a non-negative integer). After recalling a few notions about fusion categories associated with a pair (G,k), and about the notion of quantum dimension in that context, we shall introduce, for every simple Lie group, a quantum super-factorial function that allows one to express global dimensions in a closed form.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm