All Questions
Tagged with braided-tensor-categories drinfeld-center
3
questions
8
votes
0
answers
374
views
Which Drinfeld centers are balanced monoidal, i.e. have a twist?
A twist is an automorphism $\theta$ of the identity functor of a monoidal category with braiding $c$, such that $\theta_{X \otimes Y} = c_{Y,X} c_{X,Y} (\theta_X \otimes \theta_Y)$. A braided monoidal ...
- 5,485
4
votes
0
answers
367
views
How does the relative Drinfeld center interact with the relative Deligne tensor product?
Let $\mathcal{C}$ be a fusion category, and $\mathcal{M}, \mathcal{N}$ semisimple $(\mathcal{C}, \mathcal{C})$-bimodule categories. The left $\mathcal{C}$-action is denoted as $- \triangleright - \...
- 5,485
3
votes
0
answers
134
views
How to calculate the Lagrangian subgroup of $G\oplus\hat{G}$?
Let $G$ be an finite abelian group. We have known the following things:
Denote the Drinfeld center of $\operatorname{Rep}(G)$ by $\mathfrak{Z}_1(\operatorname{Rep}...
- 31