Quantum Homogeneous Spaces and Coalgebra Bundles
q-alg
2009-10-30 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
It is shown that quantum homogeneous spaces of a quantum group H can be viewed as fibres of quantum fibrations with the total space H that are dual to coalgebra bundles. As concrete examples of such structures the fibrations with the quantum 2-sphere and the quantum hyperboloid fibres are considered.
Keywords
Cite
@article{arxiv.q-alg/9704015,
title = {Quantum Homogeneous Spaces and Coalgebra Bundles},
author = {Tomasz Brzezinski},
journal= {arXiv preprint arXiv:q-alg/9704015},
year = {2009}
}
Comments
8 pages, LaTeX. Contribution to the proceedings of XV Workshop an Geometric Methods in Physics, Bialowieza 1996