Quantum Co-Adjoint Orbits of the Group of Affine Transformations of the Complex Straight Line

Details Quantum Co-Adjoint Orbits of the Group of Affine Transformations of the Complex Straight Line Quantum Co-Adjoint Orbits of the Group of Affine Transformations of the Complex Straight Line

1999-08-11

arxiv.org/abs/math/9908046v1

Mathematics

Quantum Algebra

12 pages, LaTeX2e with AMS-Latex style

Scientific paper

We construct start-products on the co-adjoint orbit of Lie group $\Aff({\bf C})$ 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 $\Aff({\bf R})$ in math.QA/9905002, we have thus a description of quantum $\bar{MD}$ co-adjoint orbits.

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