Quantum Co-Adjoint Orbits of the Real Diamond Group

Details Quantum Co-Adjoint Orbits of the Real Diamond Group Quantum Co-Adjoint Orbits of the Real Diamond Group

2000-01-07

arxiv.org/abs/math/0001046v2

Mathematics

Quantum Algebra

13 AmS-LaTeX file, no figure

Scientific paper

We present explicit formulas for deformation quantization on the co-adjoint
orbits of the real diamond Lie group. From this we obtain quantum half-plans,
quantum hyperbolic cylinders, quantum hyperbolic paraboloids via Fedosov
deformation quantization and finally, the corresponding unitary representations
of this group.

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