Computations of Nambu-Poisson cohomologies

Philippe Monnier

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-17

Abstract:

We want to associate to an n -vector on a manifold of dimension n a cohomology which generalizes the Poisson cohomology of a 2-dimensional Poisson manifold. Two possibilities are given here. One of them, the Nambu-Poisson cohomology, seems to be the most pertinent. We study these two cohomologies locally, in the case of germs of n -vectors on 𝕜 n ( 𝕜 = ℝ or ℂ ) .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:915318

DOI: 10.1155/S0161171201020075

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