Classifications

Classification of integral modular categories of Frobenius-Perron dimension $pq^{4}$ and $p^{2}q^{2}$

We classify integral modular categories of dimension $p{{q}^{4}}$ and ${{p}^{2}}{{q}^{2}}$ , where $p$ and $q$ are distinct primes. We show that such categories are always group-theoretical, except for categories of dimension $4{{q}^{2}}$ . …