In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
@article{urn:eudml:doc:40139,
title = {Nilpotent elements and solvable actions.},
journal = {Collectanea Mathematica},
volume = {47},
year = {1996},
pages = {91-104},
zbl = {0856.46029},
mrnumber = {MR1387665},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40139}
}
Sabac, Mihai. Nilpotent elements and solvable actions.. Collectanea Mathematica, Tome 47 (1996) pp. 91-104. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40139/