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Quantum Homogeneous Spaces and Coalgebra Bundles

Tomasz Brzezinski

q-algarXiv:q-alg/9704015

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.

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