Symplectic leaves and deformation quantization

DOI10.1090/S0002-9939-96-03016-XzbMath0846.46046MaRDI QIDQ4874307

Albert Jeu-Liang Sheu

Publication date: 21 April 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quantum groupquantizationgroup-preservingsimple compact Poisson-Lie groupsymplectic leaf-preserving

Mathematics Subject Classification ID

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

Related Items (2)

Applying the bootstrap in phylogeny reconstruction ⋮ Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves

Cites Work

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• The local structure of Poisson manifolds
• Compact quantum groups and groupoid \(C^*\)-algebras
• Compact matrix pseudogroups
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum dressing orbits on compact groups
• Algebra of functions on the quantum group SU(2)
• Leaf-preserving quantizations of Poisson SU(2) are not coalgebra homomorphisms
• The Weyl quantization of Poisson \(SU(2)\)
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere

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