JournalsjncgVol. 10, No. 4pp. 1611–1625

Braided quantum SU(2) groups

  • Paweł Kasprzak

    Warsaw University, Poland
  • Ralf Meyer

    University of Göttingen, Germany
  • Sutanu Roy

    National Institute of Science Education and Research, Jatni, India
  • Stanisław Lech Woronowicz

    Warsaw University, Poland
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Abstract

We construct a family of qq-deformations of SU(2) for complex parameters q1q \neq 1. For real qq, the deformation coincides with the compact quantum SUq_q(2) group. For qRq \notin \mathbb R, SUq_q(2) is only a braided compact quantum group with respect to a twisted tensor product functor for C*-algebras with an action of the circle group.

Cite this article

Paweł Kasprzak, Ralf Meyer, Sutanu Roy, Stanisław Lech Woronowicz, Braided quantum SU(2) groups. J. Noncommut. Geom. 10 (2016), no. 4, pp. 1611–1625

DOI 10.4171/JNCG/268