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arXiv · 1205.2394

Solvability of a class of braided fusion categories

Sonia Natale·Julia Yael Plavnik
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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.

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Sonia Natale, Julia Yael Plavnik. 2012-05-10. Solvability of a class of braided fusion categories. https://arxiv.org/abs/1205.2394

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