The fusion algebra of bimodule categories

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dc.creatorFuchs, Jurgen
dc.creatorRunkel, Ingo
dc.creatorSchweigert, Christoph
dc.date2007-01-08
dc.date.accessioned2026-07-07T12:45:40Z
dc.date.available2026-07-07T12:45:40Z
dc.descriptionWe 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0701223
dc.identifierhttp://arxiv.org/abs/math/0701223
dc.identifierAppl. Cat. Str. 16 (2008) 123-140
dc.identifierdoi:10.1007/s10485-007-9102-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221159
dc.subjectCategory Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe fusion algebra of bimodule categories
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