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Keywords:
Hamiltonian vector fields; Poisson bracket; pseudogroup action
Hamiltonian vector fields; Poisson bracket; pseudogroup action
Summary:
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.
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