Quantum principal bundles over quantum real projective spaces
Quantum Algebra
2015-05-28 v2
Abstract
Two hierarchies of quantum principal bundles over quantum real projective spaces are constructed. One hierarchy contains bundles with U(1) as a structure group, the other has the quantum group as a fibre. Both hierarchies are obtained by the process of prolongation from bundles with the cyclic group of order 2 as a fibre. The triviality or otherwise of these bundles is determined by using a general criterion for a prolongation of a comodule algebra to be a cleft Hopf-Galois extension.
Keywords
Cite
@article{arxiv.1105.5897,
title = {Quantum principal bundles over quantum real projective spaces},
author = {Tomasz Brzeziński and Bartosz Zieliński},
journal= {arXiv preprint arXiv:1105.5897},
year = {2015}
}
Comments
15 pages; v2 typos and omissions corrected, a discussion of Fredholm modules added