%0 Journal Article
%T Quantum Co-Adjoint Orbits of the Real Diamond Group
%A Nguyen Viet Hai
%J Mathematics
%D 2000
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0001046v2