Quantum isometry groups: examples and computations

Bhowmick, Jyotishman ; Goswami, Debashish (2009) Quantum isometry groups: examples and computations Communications in Mathematical Physics, 285 (2). pp. 421-444. ISSN 0010-3616

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Official URL: http://link.springer.com/article/10.1007/s00220-00...

Related URL: http://dx.doi.org/10.1007/s00220-008-0611-5

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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