Quantum Homogeneous Spaces and Coalgebra Bundles

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.Comment: 8 pages, LaTeX. Contribution to the proceedings of XV Workshop an Geometric Methods in Physics, Bialowieza 199