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# Sur la structure transverse à une orbite nilpotente adjointe

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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
 MSC Classifications: 22E - unknown classification 22E53D - unknown classification 53D

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