On fusion rules and solvability of a fusion category
AbstractWe address the question whether or not the condition on a fusion category being solvable is determined by its fusion rules. We prove that the answer is affirmative for some families of non-solvable examples arising from representations of semisimple Hopf algebras associated to exact factorizations of the symmetric and alternating groups. In the context of spherical fusion categories, we also consider the invariant provided by the
2017 ◽
Vol 28
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pp. 1750009
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2020 ◽
Vol 29
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pp. 2050035
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Frobenius-Schur Indicators for Some Fusion Categories Associated to Symmetric and Alternating Groups
2016 ◽
Vol 19
(3)
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pp. 645-656
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2014 ◽
Vol 14
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pp. 1550011
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2017 ◽
Vol 26
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pp. 1750104
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