Quantum Isometry Groups: Examples and Computations
@article{Bhowmick2007QuantumIG, title={Quantum Isometry Groups: Examples and Computations}, author={J. Bhowmick and Debashish Goswami}, journal={Communications in Mathematical Physics}, year={2007}, volume={285}, pages={421-444} }
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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