Quantum Co-adjoint Orbits of the Group of Affine Transformations of the Complex Straight Line Do Ngoc Diep and Nguyen Viet Hai
نویسندگان
چکیده
We construct start-products on the co-adjoint orbit of the Lie group Aff(C) of affine transformations of the complex straight line and apply them to obtain the irreducible unitary representations of this group. These results show effectiveness of the Fedosov quantization even for groups which are neither nilpotent nor exponential. Together with the result for the group Aff(R) [see DH], we have thus a description of quantum MD co-adjoint orbits.
منابع مشابه
Quantum Co-Adjoint Orbits of the Group of Affine Transformations of the Complex Line
We construct star-products on the co-adjoint orbit of the Lie group Aff(C) of affine transformations of the complex line and apply them to obtain the irreducible unitary representations of this group. These results show the effectiveness of the Fedosov quantization even for groups which are neither nilpotent nor exponential. Together with the result for the group Aff(R) (see [5]), we thus have ...
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