Nondegeneracy of the Lie algebra aff(n)

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We show that $\mathfrak{aff}(n)$, the Lie algebra of affine transformations of ${\mathbb R}^n,$ is formally and analytically nondegenerate in the sense of A. Weinstein. This means that every analytic (resp., formal) Poisson structure vanishing at a point with a linear part corresponding to $\mathfrak{aff}(n)$ is locally analytically (resp., formally) linearizable.
Some typos corrected. To appear in CRAS Paris

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Symplectic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/64662

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208036
 http://arxiv.org/abs/math/0208036

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arXiv