Type $II$ quantum subgroups of ${\mathfrak{sl}}_N$. $I$: Symmetries of local modules

Cain Edie-Michell, with an appendix by Terry Gannon

This paper is the first of a pair that aims to classify a large number of the type $II$ quantum subgroups of the categories $\mathcal{C}({\mathfrak{sl}}_{r+1},k)$. In this work we cl…