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ArticleOriginal scientific text

Title

Classifications of star products and deformations of Poisson brackets

Authors 1

Affiliations

  1. Laboratoire Gevrey de Mathématique Physique, Université de Bourgogne, B.P. 400, F-21011 Dijon Cedex, France

Abstract

On the algebra of functions on a symplectic manifold we consider the pointwise product and the Poisson bracket; after a brief review of the classifications of the deformations of these structures, we give explicit formulas relating a star product to its classifying formal Poisson bivector.

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Banach Center Publications
2000/51/1
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Pages:
25-29
Main language of publication
English
Published
2000
Exact and natural sciences