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arxiv: 1812.01111 · v1 · pith:LO2UG735new · submitted 2018-12-03 · 🧮 math.QA

Some ribbon elements for the quasi-Hopf algebra D^ω(H)

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keywords algebraquasi-hopfomegaribbonconstructelementsquasitriangularsome
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We construct an explicit isomorphism between the quasitriangular quasi-Hopf algebra $D^\omega(H)$ defined in \cite{bp} and a certain quantum double quasi-Hopf algebra. We give also new characterizations for a quasitriangular quasi-Hopf algebra to be ribbon and use them to construct some ribbon elements for $D^\omega(H)$.

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