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Symplectic leaves and deformation quantization. (English) Zbl 0846.46046

Summary: We show that for any classical simple compact Poisson-Lie group \(K\), there is no quantization of \(K\) using the quantum group \(K_q\), which is both group-preserving and symplectic leaf-preserving.

MSC:

46L87 Noncommutative differential geometry
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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