Star-products and phase space realizations of quantum groups

DOI10.1007/BF00402375zbMath0766.17015MaRDI QIDQ1196082

Zhicheng Lu

Publication date: 6 December 1992

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum groupsstar productsordering rulesquadratic preferred observables

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Cites Work

• Remarks on quantum groups
• On a possible origin of quantum groups
• Closed star products and cyclic cohomology
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Covariance and geometrical invariance in *quantization
• Quantum algebras on phase space

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