Journal of Lie Theory

no. 2
K-Star Products on Dual of Lie Algebras
Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 329-357
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.
DOI: 10.5802/jolt.307
Classification: 53D55, 53D17, 17B63
Keywords: Kontsevich star products 
@article{JOLT_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},
     year = {2003},
     volume = {13},
     number = {2},
     doi = {10.5802/jolt.307},
     zbl = {1034.53096},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.307/}
}
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%A N. Ben Amar
%T K-Star Products on Dual of Lie Algebras
%J Journal of Lie Theory
%D 2003
%P 329-357
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%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.307/
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N. Ben Amar. K-Star Products on Dual of Lie Algebras. Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 329-357. doi: 10.5802/jolt.307

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