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Sur la structure transverse à une orbite nilpotente adjointe

Published online by Cambridge University Press:  20 November 2018

Hervé Sabourin
Hervé Sabourin*
Affiliation:
UMR 6086 CNRS, Département de Mathématiques, Téléport 2, BP 30179, Boulevard Marie et Pierre Curie, 86962 Futuroscope-Chasseneuil Cedex, France, e-mail: sabourin@mathlabo.univ-poitiers.fr
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Abstract

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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 $s{{l}_{n}}$, we construct some families of nilpotent orbits with quadratic transverse structures.

Keywords

22E53Dnilpotent adjoint orbitsconormal orbitsPoisson transverse structure

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 4 , 01 August 2005 , pp. 750 - 770
Copyright
Copyright © Canadian Mathematical Society 2005

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