Geodesic
The theorem on restriction of invariants, and nilpotent elements in~$W_n$
Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 135-159

Voir la notice de l'article provenant de la source Math-Net.Ru

The ring of invariant polynomial functions on the general algebra of Cartan type $W_n$ is described explicitly. It is assumed that the ground field is algebraically closed and its characteristic is greater than 2. This result is used to prove that the variety of nilpotent elements in $W_n$ is an irreducible complete intersection and contains an open orbit whose complement consists of singular points. Moreover, a criterion for orbits in $W_n$ to be closed is obtained, and it is proved that the action of the commutator subgroup of the automorphism group in $W_n$ is stable. 
@article{SM_1992_73_1_a7,
     author = {A. A. Premet},
     title = {The theorem on restriction of invariants, and nilpotent elements in~$W_n$},
     journal = {Sbornik. Mathematics},
     pages = {135--159},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_73_1_a7/}
}
TY  - JOUR
AU  - A. A. Premet
TI  - The theorem on restriction of invariants, and nilpotent elements in~$W_n$
JO  - Sbornik. Mathematics
PY  - 1992
SP  - 135
EP  - 159
VL  - 73
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1992_73_1_a7/
LA  - en
ID  - SM_1992_73_1_a7
ER  - 
%0 Journal Article
%A A. A. Premet
%T The theorem on restriction of invariants, and nilpotent elements in~$W_n$
%J Sbornik. Mathematics
%D 1992
%P 135-159
%V 73
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1992_73_1_a7/
%G en
%F SM_1992_73_1_a7
A. A. Premet. The theorem on restriction of invariants, and nilpotent elements in~$W_n$. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 135-159. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a7/