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Correspondences of ribbon categories
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2006 (English)In: Advances in Mathematics 199 (2006) 192-329Article in journal (Refereed)
Abstract [en]

Much of algebra and representation theory can be formulated in the general framework of tensor categories. The aim of this paper is to further develop this theory for braided tensor categories. Several results are established that do not have a substantial counterpart for symmetric tensor categories. In particular, we exhibit various equivalences involving categories of modules over algebras in ribbon categories. Finally, we establish a correspondence of ribbon categories that can be applied to, and is in fact motivated by, the coset construction in conformal quantum field theory.

Place, publisher, year, edition, pages
2006.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-17898OAI: oai:DiVA.org:kau-17898DiVA: diva2:591516
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2014-11-21

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http://dx.doi.org/10.1016/j.aim.2005.04.007http://xxx.lanl.gov/abs/math/0309465

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Fuchs, Jürgen
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