Group-theoretical property of slightly degenerate fusion categories of certain Frobenius-Perron dimensions. (English) Zbl 1524.18046
Summary: Let \(p\), \(q\) be odd primes, and let \(d\) be an odd square-free integer such that \((pq,d)=1\). We show that slightly degenerate fusion categories of Frobenius-Perron dimensions \(2p^2q^2d\), \(2p^2q^3d\) and \(2p^3q^3d\) are group-theoretical.
MSC:
| 18M20 | Fusion categories, modular tensor categories, modular functors |
References:
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