Quantum Half-Planes via Deformation Quantization

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dc.creatorDiep, Do Ngoc
dc.creatorHai, Nguyen Viet
dc.date1999-05-02
dc.date1999-05-07
dc.date.accessioned2026-07-07T05:28:55Z
dc.date.available2026-07-07T05:28:55Z
dc.descriptionWe demonstrate the main idea of constructing irreducible unitary representations of Lie groups by using Fedosov deformation quantization in the concrete case of the group Aff(R) of affine transformations of the real straight line. By an exact computation of the star-product and the operator $\hat{\ell}_Z$, we show that the resulting representations exhausted all the irreducible representations of this groups.
dc.description12 pages, LaTeX2e with AMS-Latex style
dc.identifierhttps://arxiv.org/abs/math/9905002
dc.identifierhttp://arxiv.org/abs/math/9905002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78441
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.subject22E25, 22E45
dc.titleQuantum Half-Planes via Deformation Quantization
dc.typetext

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