Computing fusion rules for spherical G-extensions of fusion categories
arXiv:1909.02816
Abstract
A -graded extension of a fusion category yields a categorical action of on the center . If the extension admits a spherical structure, we provide a method for recovering its fusion rules in terms of the action. We then apply this to find closed formulas for the fusion rules of extensions of some group theoretical categories and of cyclic permutation crossed extensions of modular categories.
Comments welcome