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5 votes
2 answers
448 views

Relationship between fusion category and its Drinfel'd center

Is it true that given a fusion category $\mathcal{C}$ and its Drinfel'd center $Z(\mathcal{C})$, there is a fully faithful functor $F:\mathcal{C}\hookrightarrow Z(\mathcal{C})$? I.e. can $\mathcal{C}$ ...
Meths's user avatar
  • 309
4 votes
0 answers
201 views

Quantum dimension in the Drinfeld center

Let $\mathcal{C}$ be a spherical tensor category. It is known that the Drinfeld center of $\mathcal{C}$ is modular (and therefore also spherical), see for example, Corollary 8.20.14 in [1]. Recall the ...
Arthur's user avatar
  • 1,389
4 votes
1 answer
393 views

Is the central charge of a Drinfeld center always 0?

(If yes, is there a reference for this statement?)
Frank's user avatar
  • 41