English

Sur la structure transverse \`a une orbite nilpotente adjointe

Representation Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0311118,
  title  = {Sur la structure transverse \`a une orbite nilpotente adjointe},
  author = {Hervé Sabourin},
  journal= {arXiv preprint arXiv:math/0311118},
  year   = {2007}
}