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The fusion algebra of bimodule categories
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2008 (English)In: Applied Categ. Structures 16 (2008)Article in journal (Refereed)
Abstract [en]

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 appropriate morphism spaces of those bimodule categories. This provides a purely categorical proof of a conjecture by Ostrik concerning the structure of F.

As a by-product we obtain a concrete expression for the structure constants of the Grothendieck ring of the bimodule category in terms of endomorphisms of the tensor unit of the underlying modular tensor category

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URN: urn:nbn:se:kau:diva-24449OAI: diva2:598216
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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Fuchs, Jürgen
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