Equivariant Morita equivalences between Podles' spheres
Quantum Algebra
2013-08-13 v1 Representation Theory
Abstract
We show that the family of Podles' spheres is complete under equivariant Morita equivalence (with respect to the action of quantum SU(2)), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Morita equivalent with the quantum projective plane. In both cases, the computations are made by examining the localized spectral decomposition of a generalized Casimir element.
Keywords
Cite
@article{arxiv.1102.4990,
title = {Equivariant Morita equivalences between Podles' spheres},
author = {K. De Commer},
journal= {arXiv preprint arXiv:1102.4990},
year = {2013}
}
Comments
20 pages