On the Cohomology of the Nijenhuis–Richardson Graded Lie Algebra of the Space of Functions of a Manifold,

The aim of this paper is to determine the first three spaces of weight −1 of the adjoint cohomology of the Nijenhuis–Richardson algebra of the functions of a manifold, which are important in deformation theory (the first and second will be computed for an arbitrary weight q ≤ −1).