Quantum Homogeneous Spaces as Quantum Quotient Spaces

Details Quantum Homogeneous Spaces as Quantum Quotient Spaces Quantum Homogeneous Spaces as Quantum Quotient Spaces

1995-09-13

arxiv.org/abs/q-alg/9509015v1

Mathematics

Quantum Algebra

AmsTeX, 18pp

Scientific paper

10.1063/1.531517

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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