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math.CT2007★ 54 cited
Morita classes of algebras in modular tensor categories
Liang Kong, Ingo Runkel
We consider algebras in a modular tensor category C. If the trace pairing of an algebra A in C is non-degenerate we associate to A a commutative algebra Z(A), called the full centr…
math.CT2007★ 34 cited
The fusion algebra of bimodule categories
Jurgen Fuchs, Ingo Runkel, Christoph Schweigert
We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appro…