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Quantum Double for QuasiHopf Algebras

S. Majid
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Abstract

We introduce a quantum double quasitriangular quasi-Hopf algebra $D(H)$ associated to any quasi-Hopf algebra $H$. The algebra structure is a cocycle double cross product. We use categorical reconstruction methods. As an example, we recover the quasi-Hopf algebra of Dijkgraaf, Pasquier and Roche as the quantum double $D^ϕ(G)$ associated to a finite group $G$ and group 3-cocycle $ϕ$.

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S. Majid. 1998-02-05. Quantum Double for QuasiHopf Algebras. https://arxiv.org/abs/q-alg/9701002

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