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Quantum Co-Adjoint Orbits of the Real Diamond Group

Nguyen Viet Hai
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Abstract

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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Nguyen Viet Hai. 2000-01-08. Quantum Co-Adjoint Orbits of the Real Diamond Group. https://arxiv.org/abs/math/0001046

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