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Results tagged with monoidal-categories
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user 125022
3
votes
Accepted
Isomorphism between Davydov-Yetter complex and Hochschild complex of canonical algebra on a ...
The category $$\mathsf{Vect}$$ behaves like a unit with respect to the Deligne tensor $$\boxtimes$$. I think the technical way to say it is that there is a canonical 2-natural equivalence $$\mathcal{ …
- 556
3
votes
Exactness of functors in a $C^*$-tensor category
I agree, and wanted to follow up on @Noah's comment.
Following the definition of $\mathcal C^*$ tensor categories, there are only two assumptions that allow us to construct new objects:
(vi) $\mathca …
- 556
3
votes
Accepted
Relationship between fusion category and its Drinfel'd center
The short answer is no.
Suppose you have a fully faithful monoidal functor $(F,J):\mathcal C\to\mathcal B$, where $\mathcal C$ and $\mathcal B$ are fusion and $J_{X,Y}:F(X)\otimes F(Y)\to F(X\otimes Y …
- 556
3
votes
Accepted
Are the Drinfeld doubles of twist equivalent Hopf algebras twist equivalent?
That's a qualified yes.
Your argument is essentially correct, but you need to specify some things. Are the Hopf algebras finite dimensional? Is the base field algebraically closed of characteristic …
- 556