Deformation quantization of the Heisenberg group
Copyright policy )Deformation quantization of the Heisenberg group
A *-product compatible with the comultiplication of the Hopf algebra of the functions on the Heisenberg group is determined by deforming a coboundary Lie-Poisson structure defined by a classical r-matrix satisfying the modified Yang-Baxter equation. The corresponding quantum group is studied and its R-matrix is explicitly calculated.
(TeX 9 pages, some misprints are here corrected)
High Energy Physics - Theory, \(R\)- matrix, coboundary Lie- Poisson structure, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 17B37, Heisenberg group, 81R50, Geometric quantization, 58F06, High Energy Physics - Theory (hep-th), modified Yang-Baxter equation, Hopf algebra of functions, quantum group, Geometry and quantization, symplectic methods, Quantum groups and related algebraic methods applied to problems in quantum theory, \(*\)-product
High Energy Physics - Theory, \(R\)- matrix, coboundary Lie- Poisson structure, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 17B37, Heisenberg group, 81R50, Geometric quantization, 58F06, High Energy Physics - Theory (hep-th), modified Yang-Baxter equation, Hopf algebra of functions, quantum group, Geometry and quantization, symplectic methods, Quantum groups and related algebraic methods applied to problems in quantum theory, \(*\)-product
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