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Mathematics  1995 

Quantum Homogeneous Spaces as Quantum Quotient Spaces

DOI: 10.1063/1.531517

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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.

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