2003/11/07 by Hervé Sabourin, Sabourin, Hervé
Mathematics · #22E #53D #Advanced Algebra and Geometry #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT #msc:22E #msc:53D
paper · pdf · doi:10.48550/arxiv.math/0311118
arxiv created 2003/11/07 · openalex publication_date 2003/11/07 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.