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Sur la structure transverse à une orbite nilpotente adjointe

2005; Cambridge University Press; Volume: 57; Issue: 4 Linguagem: Inglês

10.4153/cjm-2005-030-4

1496-4279

Hervé Sabourin,

Homotopy and Cohomology in Algebraic Topology

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. Furthermore, in the case of sl n , we construct some families of nilpotent orbits with quadratic transverse structures.