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math.CT2009★ 26 cited
On Frobenius algebras in rigid monoidal categories
Jurgen Fuchs, Carl Stigner
We show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces…
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…