Deux R�sultats autour du Th�or�me de Restriction de Chevalley
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 583-59
Voir la notice de l'article provenant de la source Heldermann Verlag
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.
Classification :
17B60, 22E99, 53C35, 57S99
Mots-clés : Dunkl operator, Chevalley's restriction theorem
Mots-clés : Dunkl operator, Chevalley's restriction theorem
@article{JLT_2007_17_3_JLT_2007_17_3_a7,
author = {C. Torossian },
title = {Deux {R�sultats} autour du {Th�or�me} de {Restriction} de {Chevalley}},
journal = {Journal of Lie theory},
pages = {583--59},
publisher = {mathdoc},
volume = {17},
number = {3},
year = {2007},
url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a7/}
}
C. Torossian . Deux R�sultats autour du Th�or�me de Restriction de Chevalley. Journal of Lie theory, Tome 17 (2007) no. 3, pp. 583-59. http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a7/