2014/11/27 by Keilberg, Marc · 1 citation
#16T05 #16T25 #20D99 #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1411.7598
We give a classification of all quasitriangular structures and ribbon elements of 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 Rep(D(G)) can be endowed. We also characterize their equivalence classes under the action of Aut(D(G)) and determine when they are factorizable.