Solvability of a class of braided fusion categories
Quantum Algebra
2012-05-14 v1
Abstract
We show that a weakly integral braided fusion category C such that every simple object of C has Frobenius-Perron dimension at most 2 is solvable. In addition, we prove that such a fusion category is group-theoretical in the extreme case where the universal grading group of C is trivial.
Keywords
Cite
@article{arxiv.1205.2394,
title = {Solvability of a class of braided fusion categories},
author = {Sonia Natale and Julia Yael Plavnik},
journal= {arXiv preprint arXiv:1205.2394},
year = {2012}
}
Comments
12 pages, amslatex