English

Quantum Isometry groups of the Podles Spheres

Operator Algebras 2010-02-11 v5 Quantum Algebra

Abstract

For μ(0,1),c>0,\mu \in (0,1), c> 0, we identify the quantum group SOμ(3)SO_\mu(3) as the universal object in the category of compact quantum groups acting by `orientation and volume preserving isometries' in the sense of \cite{goswami2} on the natural spectral triple on the Podles sphere Sμ,c2S^2_{\mu, c} constructed by Dabrowski, D'Andrea, Landi and Wagner in \cite{{Dabrowski_et_al}}.

Keywords

Cite

@article{arxiv.0810.0658,
  title  = {Quantum Isometry groups of the Podles Spheres},
  author = {Jyotishman Bhowmick and Debashish Goswami},
  journal= {arXiv preprint arXiv:0810.0658},
  year   = {2010}
}

Comments

Some explanations added in subsections 3.3 and 3.4, to appear in J.Funct.Anal

R2 v1 2026-06-21T11:27:08.413Z