REPRESENTATION AND CHARACTER THEORY OF FINITE CATEGORICAL GROUPS
Nora Ganter, Robert Usher
THEORY AND APPLICATIONS OF CATEGORIES | MOUNT ALLISON UNIV | Published : 2016
We study the gerbal representations of a finite group G or, equivalently, module categories over Ostrik’s category VecαG for a 3-cocycle α. We adapt Bartlett’s string diagram formalism to this situation to prove that the categorical character of a gerbal representation is a representation of the inertia groupoid of a categorical group. We interpret such a representation as a module over the twisted Drinfeld double Dα(G).
Awarded by ARC
Ganter was supported by an Australian Research Fellowship and by ARC grant DP1095815.