Quantum Isometry Groups: Examples and Computations

Details Quantum Isometry Groups: Examples and Computations Quantum Isometry Groups: Examples and Computations

2007-07-18

arxiv.org/abs/0707.2648v4

Commun.Math.Phys.285, 421- 444(2009)

Mathematics

Quantum Algebra

minor corrections and notational changes made; results of section 3 strengthened by relaxing the assumption of nuclearity

Scientific paper

In this follow-up of the article: Quantum Group of Isometries in Classical and Noncommutative Geometry(arXiv:0704.0041) by Goswami, where 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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