Abstract
We consider analytic Poisson tensors P whose associated Lie algebra at a singular point is resonant (in the sense of J. P. Dufour (J. Differential Geom. 30 (1990), 415–428)). We give sufficient conditions on the k-jet of P at the given point so that P is analytically linearizable.
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Basto-Gonçalves, J., Cruz, I. Analytic k-Linearizability of Some Resonant Poisson Structures. Letters in Mathematical Physics 49, 59–66 (1999). https://doi.org/10.1023/A:1007632407889
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DOI: https://doi.org/10.1023/A:1007632407889