Quantum Group of Orientation preserving Riemannian Isometries

  title={Quantum Group of Orientation preserving Riemannian Isometries},
  author={J. Bhowmick and Debashish Goswami},
  journal={arXiv: Quantum Algebra},
  • J. Bhowmick, Debashish Goswami
  • Published 2008
  • Mathematics
  • arXiv: Quantum Algebra
  • We formulate a quantum group analogue of the group of orinetation-preserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly $R$-twisted in the sense of a paper of one of the authors, and of compact type) spectral triple. The main advantage of this formulation, which is directly in terms of the Dirac operator, is that it does not need the existence of any `good ' Laplacian as in our previous works on quantum isometry groups. Several interesting… CONTINUE READING
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