
arXiv: math/0509676
We classify all SL(2,R)-covariant Poisson structures on the Lobachevsky plane with respect to all multiplicative Poisson structures on SL(2,R) and describe quantizations for all these Poisson structures.
Poisson structures, quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Lobachevsky plane, 17B37, Geometric quantization, complex upper-half plane, Hopf algebras, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), quantization, Quantum groups and related algebraic methods applied to problems in quantum theory
Poisson structures, quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Lobachevsky plane, 17B37, Geometric quantization, complex upper-half plane, Hopf algebras, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), quantization, Quantum groups and related algebraic methods applied to problems in quantum theory
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