Mathematics – Representation Theory
Scientific paper
2003-11-07
Mathematics
Representation Theory
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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