Auto-equivalences of the modular tensor categories of type $A$, $B$, $C$ and $G$

Cain Edie-Michell

We compute the monoidal and braided auto-equivalences of the modular tensor categories $\mathcal{C}({\mathfrak{sl}}_{r+1},k)$, $\mathcal{C}({\mathfrak{so}}_{2r+1},k)$, $\mathcal{C}(\ma…