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As one knows, for every Poisson manifold $M$ there exists a formal noncommutative deformation of the algebra of functions on it; it is determined in a unique way (up to an equivalence relation) by the given Poisson bivector. Let a Lie algebra $\mathfrak g$ acts by derivations on functions $M$. The main question, which I shall address in my talk is whether it is possible to lift this action to the derivations on deformed algebra of functions. It is easy to see, that when dimension of $\mathfrak g$ is $1$, the only necessary and sufficient condition for this is that the given action is by Poisson vector fields. However, when dimension of $\mathfrak g$ is greater than $1$, the previous methods do not work. I shall show how one can obtain a series of homological obstructions for this problem, which vanish if there exists the necessary extension.