Quantum Isometry Groups: Examples and Computations
Quantum Algebra
2009-01-30 v4 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0707.2648,
title = {Quantum Isometry Groups: Examples and Computations},
author = {Debashish Goswami and Jyotishman Bhowmick},
journal= {arXiv preprint arXiv:0707.2648},
year = {2009}
}
Comments
minor corrections and notational changes made; results of section 3 strengthened by relaxing the assumption of nuclearity