Quantum planes and quantum cylinders from Poisson homogeneous spaces

Abstract

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).

13 pages, plain Tex, no figures

References in corpus (1)

• Poisson homogeneous spaces

Cited by in corpus (5)

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• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
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• Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
• Quantum groups and noncommutative spacetimes with cosmological constant