Geodesic
Subalgebras of finite codimension in symplectic Lie algebra
Archivum mathematicum, Tome 35 (1999) no. 2, pp. 103-114.

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Subalgebras of germs of vector fields leaving $0$ fixed in $R^{2n}$, of finite codimension in symplectic Lie algebra contain the ideal of germs infinitely flat at $0$. We give an application.
Classification : 17B66
Keywords: Hamiltonian vector fields; Poisson bracket; pseudogroup action 
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     author = {Benalili, Mohammed and Boucherif, Abdelkader},
     title = {Subalgebras of finite codimension in symplectic {Lie} algebra},
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     pages = {103--114},
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     volume = {35},
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     zbl = {1064.17508},
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Benalili, Mohammed; Boucherif, Abdelkader. Subalgebras of finite codimension in symplectic Lie algebra. Archivum mathematicum, Tome 35 (1999) no. 2, pp. 103-114. http://geodesic.mathdoc.fr/item/ARM_1999__35_2_a1/