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On the Rosenberg-Zelinsky sequence in abelian monoidal categories
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering. (Matematisk modellering)ORCID iD: 0000-0003-4081-6234
2010 (English)In: Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, no 642, 1-36 p.Article in journal (Refereed) Published
Abstract [en]

We consider Frobenius algebras and their bimodules in certain abelian monoidal categories. In particular we study the Picard group of the category of bimodules over a Frobenius algebra, i.e. the group of isomorphism classes of invertible bimodules. The Rosenberg-Zelinsky sequence describes a homomorphism from the group of algebra automorphisms to the Picard group, which however is typically not surjective. We investigate under which conditions there exists a Morita equivalent Frobenius algebra for which the corresponding homomorphism is surjective. One motivation for our considerations is the orbifold construction in conformal field theory.

Place, publisher, year, edition, pages
Berlin: de Gruyter , 2010. no 642, 1-36 p.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-9838OAI: oai:DiVA.org:kau-9838DiVA: diva2:493345
Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2014-11-21Bibliographically approved

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http://www.reference-global.com/doi/abs/10.1515/CRELLE.2010.035

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