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On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold. (English) Zbl 1012.17014

This is a full proof of results presented by the author in [Bull. Belg. Math. Soc. – Simon Stevin 8, No. 1, 141-146 (2001; Zbl 0989.17012)] about low-dimensional cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions on a manifold, with coefficients in an adjoint module.

MSC:

17B56 Cohomology of Lie (super)algebras
17B66 Lie algebras of vector fields and related (super) algebras

Citations:

Zbl 0989.17012
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References:

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