New answers tagged fusion-categories
4
votes
Are there interesting examples of unitary fusion categories where a tensor product of two simple objects is simple?
Typically the tensor product of two simple objects is not simple. The smallest example is $\text{Fib}$, the Fibonacci category (also called the Yang-Lee category), that has two simple objects: $\...
- 471
4
votes
Accepted
Number of categories of product of fusion rings
If you take the fusion ring $A=B=\mathbb N[\mathbb Z/2\mathbb Z]$, then $n_a=n_b=2$. This is because the two categorifications are $\text{Vec}_{\mathbb Z/2\mathbb Z}$ and $\text{Vec}_{\mathbb Z/2\...
- 471
8
votes
Accepted
How does the Tannaka duality work for weak Hopf algebras and fusion categories?
The procedure is more or less the standard Tannakian reconstruction argument. The first thing you need is a "forgetful" fiber functor $F:C\to Vect$, then you consider $R=End(F)$ the natural ...
- 1,377
Top 50 recent answers are included