Computing fusion rules for spherical G-extensions of fusion categories
Quantum Algebra
2021-09-20 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.1909.02816,
title = {Computing fusion rules for spherical G-extensions of fusion categories},
author = {Marcel Bischoff and Corey Jones},
journal= {arXiv preprint arXiv:1909.02816},
year = {2021}
}
Comments
Comments welcome