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

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dc.creatorDiep, Do Ngoc
dc.creatorHai, Nguyen Viet
dc.date1999-08-11
dc.date.accessioned2026-07-07T05:30:15Z
dc.date.available2026-07-07T05:30:15Z
dc.descriptionWe 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.
dc.description12 pages, LaTeX2e with AMS-Latex style
dc.identifierhttps://arxiv.org/abs/math/9908046
dc.identifierhttp://arxiv.org/abs/math/9908046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78935
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.subject22E25, 22E45
dc.titleQuantum Co-Adjoint Orbits of the Group of Affine Transformations of the Complex Straight Line
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