• DOI:10.1007/s00220-008-0461-1
Corpus ID: 5560780

Quantum Group of Isometries in Classical and Noncommutative Geometry

@article{Goswami2008QuantumGO,
  title={Quantum Group of Isometries in Classical and Noncommutative Geometry},
  author={Debashish Goswami},
  journal={Communications in Mathematical Physics},
  year={2008},
  volume={285},
  pages={141-160}
}

Debashish Goswami

Published 2008

Mathematics, Physics

Communications in Mathematical Physics

We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric action by a compact quantum group on a classical or noncommutative manifold described by spectral triples, and then proving the existence of a universal object (called the quantum isometry group) in the category of compact quantum groups acting smoothly and isometrically on a given (possibly noncommutative) manifold… CONTINUE READING

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