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Quantum Double for Quasi-Hopf Algebras

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Abstract

We introduce a quantum double quasi-triangular 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 Dφ(G) associated to a finite group G and group 3-cocycle φ.

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Authors and Affiliations

  1. Department of Mathematics, Harvard University, Science Center, Cambridge, MA, 02138, U.S.A.

    S. Majid

  2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, U.K.

    S. Majid

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  1. S. Majid
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Majid, S. Quantum Double for Quasi-Hopf Algebras. Letters in Mathematical Physics 45, 1–9 (1998). https://doi.org/10.1023/A:1007450123281

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  • DOI: https://doi.org/10.1023/A:1007450123281

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