Mathematics > Quantum Algebra
[Submitted on 27 Nov 2014 (v1), last revised 22 Aug 2017 (this version, v2)]
Title:Quasitriangular structures of the double of a finite group
View PDFAbstract:We give a classification of all quasitriangular structures and ribbon elements of $\mathcal{D}(G)$ explicitly in terms of group homomorphisms and central subgroups. This can equivalently be interpreted as an explicit description of all braidings with which the tensor category $\operatorname{Rep}(\mathcal{D}(G))$ can be endowed. We also characterize their equivalence classes under the action of $\operatorname{Aut}(\mathcal{D}(G))$ and determine when they are factorizable.
Submission history
From: Marc Keilberg [view email][v1] Thu, 27 Nov 2014 13:44:59 UTC (17 KB)
[v2] Tue, 22 Aug 2017 12:24:27 UTC (24 KB)
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