1Dép. de Mathématiques, Faculté des Sciences de Sfax, Route de Soukra, BP 802, 3018 Sfax, Tunesia 2We consider a generalization (* 3) of the Kontsevich family of star products (* 4) for linear Poisson structures 5. 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 (* 6) among all them. 7[
Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 329-357
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Nabiha Ben Amar. K-Star Products on Dual of Lie Algebras. Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 329-357. http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a1/
@article{JOLT_2003_13_2_a1,
author = {Nabiha Ben Amar},
title = {K-Star {Products} on {Dual} of {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {329--357},
year = {2003},
volume = {13},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a1/}
}
TY - JOUR
AU - Nabiha Ben Amar
TI - K-Star Products on Dual of Lie Algebras
JO - Journal of Lie Theory
PY - 2003
SP - 329
EP - 357
VL - 13
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a1/
ID - JOLT_2003_13_2_a1
ER -
%0 Journal Article
%A Nabiha Ben Amar
%T K-Star Products on Dual of Lie Algebras
%J Journal of Lie Theory
%D 2003
%P 329-357
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a1/
%F JOLT_2003_13_2_a1
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.
