Pre-modular fusion categories of global dimensions $p^2$

Zhiqiang Yu

Let $p\ge 5$ be a prime, we show that a non-pointed modular fusion category $\mathcal{C}$ is Grothendieck equivalent to $\mathcal{C}({\mathfrak{sl}}_2,2(p-1){)}_A^0$ if and only if $\d…