Quantum Isometry Groups: Examples and Computations

  title={Quantum Isometry Groups: Examples and Computations},
  author={J. Bhowmick and Debashish Goswami},
  journal={Communications in Mathematical Physics},
  • J. Bhowmick, Debashish Goswami
  • Published 2007
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • In this follow-up of [4], where the quantum isometry group of a noncommutative manifold has been defined, we explicitly compute such quantum groups for a number of classical as well as noncommutative manifolds including the spheres and the tori. It is also proved that the quantum isometry group of an isospectral deformation of a (classical or noncommutative) manifold is a suitable deformation of the quantum isometry group of the original (undeformed) manifold. 
    65 Citations


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