English

Braided quantum SU(2) groups

Operator Algebras 2024-06-25 v3

Abstract

We construct a family of q-deformations of SU(2) for complex parameters q not equal to 0. For real q, the deformation coincides with Woronowicz' compact quantum SU_q(2) group. For q not real, SU_q(2) is only a braided compact quantum group with respect to a certain tensor product functor for C*-algebras with an action of the circle group.

Keywords

Cite

@article{arxiv.1411.3218,
  title  = {Braided quantum SU(2) groups},
  author = {Paweł Kasprzak and Ralf Meyer and Sutanu Roy and Stanisław Lech Woronowicz},
  journal= {arXiv preprint arXiv:1411.3218},
  year   = {2024}
}

Comments

11 pages; accepted by JNCG

R2 v1 2026-06-22T06:56:22.011Z