Quantum Homogeneous Spaces as Quantum Quotient Spaces

Abstract

We show that certain embeddable homogeneous spaces of a quantum group that do not correspond to a quantum subgroup still have the structure of quantum quotient spaces. We propose a construction of quantum fibre bundles on such spaces. The quantum plane and the general quantum two-spheres are discussed in detail.

AmsTeX, 18pp

References in corpus (2)

• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups
• Quantum group gauge theory on quantum spaces

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