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Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2007 (English)In: Contemporary Mathematics 431 (2007), 2007Chapter in book (Refereed)
Abstract [en]

A Morita class of symmetric special Frobenius algebras A in the modular tensor category of a chiral CFT determines a full CFT on oriented world sheets. For unoriented world sheets, A must in addition possess a reversion, i.e. an isomorphism from A^opp to A squaring to the twist. Any two reversions of an algebra A differ by an element of the group Aut(A) of algebra automorphisms of A. We establish a group homomorphism from Aut(A) to the Picard group of the bimodule category C_AA, with kernel consisting of the inner automorphisms, and we refine Morita equivalence to an equivalence relation between algebras with reversion

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URN: urn:nbn:se:kau:diva-23099OAI: diva2:596854
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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Fuchs, Jürgen
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