Geodesic
On symmetric invariants of some modular Lie algebras
Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 125-135 
L. P. Bedratyuk. On symmetric invariants of some modular Lie algebras. Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 125-135. http://geodesic.mathdoc.fr/item/SM_1995_80_1_a6/
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     author = {L. P. Bedratyuk},
     title = {On symmetric invariants of some modular {Lie} algebras},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_80_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the Lie algebras of Cartan type $W_n(\mathrm{m})$, $S_n(\mathrm{m})$, $H_n^0(\mathrm{m})$ a simple condition is obtained that must be satisfied by every nontrivial invariant polynomial function on the coadjoint module for the algebra.

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