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2-Cocycles and Twisting of Kac Algebras

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Abstract:

We describe the twisting construction with the help of 2-cocycles on Hopf–von Neumann and George Kac algebras; we show that twisted Kac algebras are again Kac algebras. Using this construction, we give a wide class of new quantizations of the Heisenberg group and describe several series of non-trivial finite- dimensional -Hopf algebras (Kac algebras) of dimensions 4n and as twisting of finite groups.

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  1. Lab. de Math. Fondamentales, Université Pierre et Marie Curie, Case 191, Aile 46-0, 3-éme étage, 4 place Jussieu, F-75252 Paris Cedex 05, France. E-mail: vainerma@math.jussieu.fr, , , , , , FR

    Leonid Vainerman

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  1. Leonid Vainerman
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Received: Received: 21 March 1997 / Accepted: 2 June 1997

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Vainerman, L. 2-Cocycles and Twisting of Kac Algebras . Comm Math Phys 191, 697–721 (1998). https://doi.org/10.1007/s002200050284

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  • DOI: https://doi.org/10.1007/s002200050284

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