K-Star Products on Dual of Lie Algebras
Journal of Lie theory, Tome 13 (2003) no. 2, pp. 329-357
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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.
@article{JLT_2003_13_2_JLT_2003_13_2_a1,
author = {N. Ben Amar },
title = {K-Star {Products} on {Dual} of {Lie} {Algebras}},
journal = {Journal of Lie theory},
pages = {329--357},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2003},
url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a1/}
}
N. 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/JLT_2003_13_2_JLT_2003_13_2_a1/