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Real and imaginary forms of quantum groups

I. Quantum Groups, Deformation Theory And Representation Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1510)

Abstract

Existing definition of a real form of quantum group as a *-Hopf algebra is not quite satisfactory from the categorical point of view. In this paper another definition is proposed, which essentially coincides with the previous one for q∈ℝ and yields new examples for |q|=1. The last case is important because of applications of quantum groups to conformal field theory.

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© 1992 Springer-Verlag

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Lyubashenko, V. (1992). Real and imaginary forms of quantum groups. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101179

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  • DOI: https://doi.org/10.1007/BFb0101179

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55305-2

  • Online ISBN: 978-3-540-47020-5

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