Deformation quantization of the Heisenberg group

DOI10.1007/BF02099315zbMath0833.17017arXivhep-th/9312129MaRDI QIDQ1894878

Francesco Bonechi, Emanuele Sorace, Marco Tarlini, Riccardo Giachetti

Publication date: 26 July 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312129

zbMATH Keywords

quantum groupHeisenberg group\(R\)- matrix\(*\)-productmodified Yang-Baxter equationcoboundary Lie- Poisson structureHopf algebra of functions

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) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items

Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group, Identical particles and quantum symmetries, On the deformability of Heisenberg algebras, Deformation of noncommutative quantum mechanics, Reconstruction of universal Drinfeld twists from representations

Cites Work

• A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation quantization of Heisenberg manifolds
• Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures
• The quantum Heisenberg group H(1)q
• Unnamed Item