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The graphical calculus for ribbon categories: Algebras, modules, Nakayama automorphisms
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2006 (English)Conference paper, Published paper (Refereed)
Abstract [en]

The graphical description of morphisms in rigid monoidal categories, in particular in ribbon categories, is summarized. It is illustrated with various examples of algebraic structures in such categories, like algebras, (weak) bi-algebras, Frobenius algebras, and modules and bimodules. Nakayama automorphisms of Frobenius algebras are introduced; they are inner iff the algebra is symmetric

Place, publisher, year, edition, pages
2006.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-24471OAI: oai:DiVA.org:kau-24471DiVA, id: diva2:598239
Conference
Journal of Nonlin. Math. Physics 13 Suppl. (2006)
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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http://www.atlantis-press.com/publications/jnmp/index_jnmp.html?http%3A//www.atlantis-press.com/php/paper-details.php/download_paper%3Fid%3D368http://dx.doi.org/10.2991/jnmp.2006.13.s.6

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Fuchs, Jürgen

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