The fusion algebra of bimodule categories. (English) Zbl 1154.18003
The authors provide a ring-isomomorphism between the complexified Grothendieck ring of a certain bimodule category over a modular tensor category on the one hand and the endomorphism ring of certain morphism spaces of those bimodule categories on the other hand.
Reviewer: Xi Changchang (Beijing)
MSC:
| 18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
| 18D35 | Structured objects in a category (MSC2010) |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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