Solvability of a Class of Braided Fusion Categories |
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| Authors: | Sonia Natale Julia Yael Plavnik |
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| Institution: | 1. Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM – CONICET, (5000) Ciudad Universitaria, Córdoba, Argentina
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| Abstract: | We show that a weakly integral braided fusion category ${{\mathcal C}}$ such that every simple object of ${{\mathcal C}}$ has Frobenius-Perron dimension ≤?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 ${{\mathcal C}}$ is trivial. |
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