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Journal of Lie Theory 17 (2007), No. 3, 583--590
Copyright Heldermann Verlag 2007

Deux Résultats autour du Théorème de Restriction de Chevalley

Charles Torossian
Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris, France

We use Dunkl's operators to give an elementary proof of the surjectivity in the Chevalley's restriction theorem. In the second part of this article we describe the image of the invariants by the restriction map in the case of Takiff algebras, there are some similarities with super Lie algebras. We extend this result to Takiff symmetric space.

Keywords: Dunkl operator, Chevalley's restriction theorem.

MSC: 17B60, 22E99, 53C35, 57S99

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