ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXV, 1 (2006)
p. 31 - 41
Hochshild cohomology and equivalence of graded star products
N. Ben Amar

Abstract.  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.

Keywords: Star products, Poisson structures, Lie algebras.  

AMS Subject classification:  Primary: 53D55.
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