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Quantum Homogeneous Spaces as Quantum Quotient Spaces

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arxiv q-alg/9509015 v1 pith:YFAXRAWN submitted 1995-09-13 q-alg math.QA

Tomasz Brzezinski This is my paper · ORCID
classification q-algmath.QA
keywords quantumspaceshomogeneousquotientbundlescertainconstructioncorrespond
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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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  1. Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces

    math-ph 2019-09 conditional novelty 6.0 of 10

    Coreductivity and cosymmetry of a Lie bialgebra are defined and shown to characterize when the complementary dual homogeneous space is reductive or symmetric, with applications to κ-deformed Lorentzian spacetimes.

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