Deformation Quantization of the Heisenberg Group
F. Bonechi, R. Giachetti, E. Sorace, M. Tarlini
Abstract
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.
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