Geodesic
Hochshild cohomology and equivalence of graded star products
Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 1 
N. Ben Amar. Hochshild cohomology and equivalence of graded star products. Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a2/
@article{AMUC_2006_75_1_a2,
     author = {N. Ben Amar},
     title = {Hochshild cohomology and equivalence of graded star products},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2006},
     volume = {75},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2006_75_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

We study graded star products on dual of finite dimensional Lie algebras. We prove that all graded star products are entirely determined by the expression of X* u where X belongs to the Lie algebra g and u is a polynomial function on the dual g * of g . We also consider the Hochschild cohomology and we prove that all graded differential star products are equivalent.