Deformation Quantization of Poisson Structures Associated to Lie Algebroids

In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular or even symplectic, our construction gets along without Kontsevich's forma...

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Bibliographic Details
Date:2009
Main Authors: Neumaier, N., Waldmann, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149144
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Deformation Quantization of Poisson Structures Associated to Lie Algebroids / N. Neumaier, S. Waldmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 44 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine