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.

8 pages, LaTeX. Contribution to the proceedings of XV Workshop an Geometric Methods in Physics, Bialowieza 1996

References in corpus (8)

• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups
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• Geometry of Quantum Principal Bundles I
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• Translation map in quantum principal bundles
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Cited by in corpus (1)

• Cyclic Homology and Quantum Orbits