3 problems

Consider an exceptional type $II$ quantum subgroup associated to a simple Lie algebra. Quadratic-category origin conjecture. Every exceptional type $II$ quantum subgroup for a simp…

Let $A$ be a finite abelian group of odd order, and let $\mathcal{C}$ be a quadratic category of type $(\mathbb{Z}_2,A,1)$ whose $\operatorname{Vec}_{\mathbb{Z}_2}$ subcategory has…

Let a pair of metric groups with involutions and compatible quadratic forms be chosen as input to the construction of potential modular data. For certain particular choices of the…