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Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups

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dc.contributor.author Coquereaux, R.
dc.contributor.author Zuber, J.
dc.date.accessioned 2019-02-19T18:29:32Z
dc.date.available 2019-02-19T18:29:32Z
dc.date.issued 2013
dc.identifier.citation Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups / R. Coquereaux, J. Zuber // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 53 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 81R50; 81T40; 20C99; 18D10
dc.identifier.other DOI: http://dx.doi.org/10.3842/SIGMA.2013.039
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/149196
dc.description.abstract Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data – S, T and fusion matrices – are computed explicitly, and illustrated by means of fusion graphs. This allows us to reexamine certain identities on these tensor product or fusion multiplicities under conjugation of representations that had been discussed in our recent paper [J. Phys. A: Math. Theor. 44 (2011), 295208, 26 pages], proved to hold for simple and affine Lie algebras, and found to be generally wrong for finite groups. It is shown here that these identities fail also in general for Drinfeld doubles, indicating that modularity of the fusion category is not the decisive feature. Along the way, we collect many data on these Drinfeld doubles which are interesting for their own sake and maybe also in a relation with the theory of orbifolds in conformal field theory. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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