Abstract
Let E be the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold. The graded cohomology of weight −1 associated to the adjoint representation is the direct sum of the cohomology of some kernel and the ChevalleyEilenberg cohomology of E0 associated to the canonical representation on functions. We computed the first three cohomology spaces of E0 in [9]. The aim of this paper is to determine the corresponding cohomology spaces of E (the first and the second will be given for an arbitrary weight q ≤ −1), which are important in deformation theory. Key-words : graded cohomology, Nijenhuis-Richardson algebra, symbolic computation Classification : 17 B 56, 17 B 70
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