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Sur la structure transverse à une orbite nilpotente adjointe

  Published:2005-08-01
 Printed: Aug 2005
  • Hervé Sabourin
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Abstract

We are interested in Poisson structures to transverse 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.
Keywords: nilpotent adjoint orbits, conormal orbits, Poisson transverse structure nilpotent adjoint orbits, conormal orbits, Poisson transverse structure
MSC Classifications: 22E, 53D show english descriptions unknown classification 22E
unknown classification 53D
22E - unknown classification 22E
53D - unknown classification 53D
 

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