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Quantum planes and quantum cylinders from Poisson homogeneous spaces

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arxiv q-alg/9504023 v1 pith:TCCH44KH submitted 1995-04-25 q-alg math.QA

N. Ciccoli This is my paper · ORCID
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keywords quantumpoissonhomogeneousplanesspacesclassicalcylindercylinders
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Quantum planes and a new quantum cylinder are obtained as quantization of Poisson homogeneous spaces of two different Poisson structures on classical Euclidean group E(2).

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Cited by 1 Pith paper

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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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