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Journal of Lie Theory 13 (2003), No. 2, 329--357
Copyright Heldermann Verlag 2003

K-Star Products on Dual of Lie Algebras

Nabiha Ben Amar
Dép. de Mathématiques, Faculté des Sciences de Sfax, Route de Soukra, BP 802, 3018 Sfax, Tunesia

We consider a generalization (*a) of the Kontsevich family of star products (*aK) for linear Poisson structures a. Such a family is characterized by a formal function F. We study some general properties of such families: invariance and covariance, closeness and relativity, symmetry and reality. Finally, we characterize the Kontsevich family (*aK) among all them.

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