Geodesic
Sandwiches in Lie algebras
Sbornik. Mathematics, Tome 38 (1981) no. 1, pp. 1-9 
A. I. Kostrikin. Sandwiches in Lie algebras. Sbornik. Mathematics, Tome 38 (1981) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/SM_1981_38_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The author investigates Lie algebras which contain elements the squares of whose adjoint endomorphisms are zero. The basic theory is used, in particular, to improve the proof of the local nilpotence of Engel Lie algebras. Bibliography: 3 titles.

[1] A. I. Kostrikin, “O probleme Bernsaida”, Izv. AN SSSR, seriya matem., 23 (1959), 3–34 | MR

[2] A. I. Kostrikin, “Kvadraty prisoedinennykh endomorfizmov v prostykh $p$-algebrakh Li”, Izv. AN SSSR, seriya matem., 31 (1967), 445–487 | MR | Zbl

[3] N. Strade, “Nonclassical simple Lie algebras and strong degeneration”, Arch. Math., 24 (1973), 482–485 | DOI | MR | Zbl