Deformation Quantization of Certain Non-linear Poisson Structures

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dc.creatorKahng, Byung-Jay
dc.date1998-02-06
dc.date.accessioned2026-07-07T05:23:47Z
dc.date.available2026-07-07T05:23:47Z
dc.descriptionAs a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we introduce certain non-linear Poisson brackets which are ``cocycle perturbations'' of the linear Poisson bracket. We show that these special Poisson brackets are equivalent to Poisson brackets of central extension type, which resemble the central extensions of an ordinary Lie bracket via Lie algebra cocycles. We are able to formulate (strict) deformation quantizations of these Poisson brackets by means of twisted group C*-algebras. We also indicate that these deformation quantizations can be used to construct some specific non-compact quantum groups.
dc.descriptionAMS-LaTeX v1.2, 26 pages, to appear in International Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/9802034
dc.identifierhttp://arxiv.org/abs/math/9802034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76581
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.subject46L87 (Primary) 58F05, 22D25
dc.titleDeformation Quantization of Certain Non-linear Poisson Structures
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