Journal of Lie Theory

no. 3
Deux Résultats autour du Théorème de Restriction de Chevalley
Charles Torossian1
1Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris, France
Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 583-590
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.
DOI: 10.5802/jolt.462
Classification: 17B60, 22E99, 53C35, 57S99
Keywords: Dunkl operator, Chevalley's restriction theorem

Charles Torossian  1

1 Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris, France 
Charles Torossian. Deux Résultats autour du Théorème de Restriction de Chevalley. Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 583-590. doi: 10.5802/jolt.462
@article{JOLT_2007_17_3_a7,
     author = {Charles Torossian},
     title = {Deux {R\'esultats} autour du {Th\'eor\`eme} de {Restriction} de {Chevalley}},
     journal = {Journal of Lie Theory},
     pages = {583--590},
     year = {2007},
     volume = {17},
     number = {3},
     doi = {10.5802/jolt.462},
     zbl = {1161.17008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.462/}
}
TY  - JOUR
AU  - Charles Torossian
TI  - Deux Résultats autour du Théorème de Restriction de Chevalley
JO  - Journal of Lie Theory
PY  - 2007
SP  - 583
EP  - 590
VL  - 17
IS  - 3
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.462/
DO  - 10.5802/jolt.462
ID  - JOLT_2007_17_3_a7
ER  - 
%0 Journal Article
%A Charles Torossian
%T Deux Résultats autour du Théorème de Restriction de Chevalley
%J Journal of Lie Theory
%D 2007
%P 583-590
%V 17
%N 3
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.462/
%R 10.5802/jolt.462
%F JOLT_2007_17_3_a7

Cited by Sources: