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First cohomology spaces of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold - MaRDI portal

First cohomology spaces of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold (Q5952924)

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scientific article; zbMATH DE number 1690566
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First cohomology spaces of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold
scientific article; zbMATH DE number 1690566

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    First cohomology spaces of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold (English)
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    9 April 2002
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    Nijenhuis-Richardson Lie algebra
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    Lie algebra cohomology
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    de Rham cohomology
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    In this paper, results about the low-dimensional cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold, with coefficients in an adjoint module, are presented. This continues an earlier work of the author [C. R. Acad. Sci., Paris, Sér. I 328, 789-794 (1999; Zbl 0968.17008)]. NEWLINENEWLINENEWLINENo detailed proofs are given.
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