For any Poisson structure vanishing at a point, we give a local formal normal form which arises from the Levi decomposition of the dual of its linear approximation. So, we generalize the result of Weinstein which says that singular Poisson structures with linear approximation having a semi-simple dual, are formally linearizable.
|Translated title of the contribution||Formal normalization for Poisson structures|
|Number of pages||6|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|State||Published - Jan 1 1997|
All Science Journal Classification (ASJC) codes