Sur la structure transverse à une orbite nilpotente adjointe

Mathematics – Representation Theory

Scientific paper

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Scientific paper

We are interested in Poisson structures transverse to nilpotent adjoint
orbits in a complex semi-simple Lie algebra, and we study their polynomial
nature, introduced by R.Cushman and M.Roberts. Furthermore, in the case of
sl(n), we construct some families of nilpotent orbits with quadratic transverse
structures.

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