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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

Place, publisher, year, edition, pages
2008.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-24449OAI: oai:DiVA.org:kau-24449DiVA: diva2:598216
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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http://xxx.lanl.gov/abs/math.CT/0701223http://dx.doi.org/10.1007/s10485-007-9102-7

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Fuchs, Jürgen
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