Geodesic
Squares of adjoint endomorphisms in simple Lie $p$-algebras
Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 435-473.

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A new characterization of simple Lie $p$-algebras of classical type based on the properties of nilpotent elements is given herein. By this means an analogy is also established between degenerate Lie algebras of a special class and infinite Lie algebras of zero characteristic. 
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     author = {A. I. Kostrikin},
     title = {Squares of adjoint endomorphisms in simple {Lie} $p$-algebras},
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A. I. Kostrikin. Squares of adjoint endomorphisms in simple Lie $p$-algebras. Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 435-473. http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a14/

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

[2] Shevalle K., “O nekotorykh prostykh gruppakh”, Matematika, 2:1 (1958), 3–53 | MR

[3] Mills W. H., Seligman G. B., “Lie algebras of classical type”, J. Math. and Mech., 6:4 (1957), 519–548 | MR | Zbl

[4] Mills W. H., “Classical type Lie algebras of characteristic 5 and 7”, J. Math. and Mech., 6:4 (1957), 559–566 | MR | Zbl

[5] Kostrikin A. I., “O prostykh $p$-algebrakh Li”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 64, 1961, 79–89 | MR | Zbl

[6] Kobayashi Sh., Nagano T., “On filtered Lie algebras and geometric structures. III”, J. Math. and Mech., 14:4 (1965), 679–706 | MR

[7] Kostrikin A. I., Shafarevich I. R., “Psevdogruppy Kartana i $p$-algebry Li”, Dokl. AN SSSR, 168:4 (1966), 740–742 | MR

[8] Kostrikin A. I., “O silnoi vyrozhdennosti prostykh $p$-algebr Li”, Dokl. AN SSSR, 150:2 (1963), 248–250 | MR | Zbl

[9] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR

[10] Block R., “On the Mills–Seligman axioms for Lie algebras of classical type”, Trans. Amer. Math. Soc., 121 (1966), 378–392 | DOI | MR | Zbl

[11] Kaplansky I., “Lie algebras”, Lectures on Modern Math., vol. I, 1963, 115–132 | MR | Zbl

[12] Kaplansky I., “Lie algebras of characteristic $p$”, Trans. Amer. Math. Soc., 89 (1958), 149–183 | DOI | MR | Zbl