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Quantum Isometry Groups: Examples and Computations

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Abstract

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.

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Authors and Affiliations

  1. Stat-Math Unit, Kolkata Centre, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700 108, India

    Jyotishman Bhowmick & Debashish Goswami

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  1. Jyotishman Bhowmick
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  2. Debashish Goswami
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Correspondence to Debashish Goswami.

Additional information

Communicated by A. Connes

The support from National Board of Higher Mathematics, India, is gratefully acknowledged.

Partially supported by the project ‘Noncommutative Geometry and QuantumGroups’ funded by the Indian National Science Academy.

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Bhowmick, J., Goswami, D. Quantum Isometry Groups: Examples and Computations. Commun. Math. Phys. 285, 421–444 (2009). https://doi.org/10.1007/s00220-008-0611-5

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  • DOI: https://doi.org/10.1007/s00220-008-0611-5

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