Geodesic
Simple $\mathbb Z_2$-graded Lie algebras
Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 553-564 
Chan Nam Zung. Simple $\mathbb Z_2$-graded Lie algebras. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 553-564. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a16/
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     author = {Chan Nam Zung},
     title = {Simple $\mathbb Z_2$-graded {Lie} algebras},
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     volume = {83},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_83_2_a16/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

General properties of $\mathbb Z_2$-graded Lie algebras are studied in this paper. A theorem on simplicity is proved. Results concerning the dependence among the structural properties of an algebra $L$ and its components are obtained.

[1] Brown G., “On the structure of some Lie algebras of Kuznetsov”, Michigan Math. J., 39 (1992), 85–90 | DOI | MR | Zbl

[2] Skryabin S. M., “Novye serii prostykh algebr Li kharakteristiki 3”, Matem. sb., 183:8 (1992), 3–22 | MR | Zbl

[3] Kaplansky I., “On ${\mathbb Z}_2$-graded Lie algebras”, Illinois J. Math., 35:1 (1991), 85–92 | MR | Zbl

[4] Kostrikin A. I., “Parametricheskoe semeistvo prostykh algebr Li”, Izv. AN SSSR. Ser. matem., 34 (1970), 744–756 | MR | Zbl

[5] Kuznetsov M. I., “Modulyarnye prostye algebry Li s razreshimoi maksimalnoi podalgebroi”, Matem. sb., 101(143) (1976), 77–86 | MR | Zbl

[6] Kuznetsov M. I., “Klassifikatsiya prostykh graduirovannykh algebr Li s nepoluprostoi komponentoi $L_0$”, Matem. sb., 180:2 (1989), 147–168

[7] Brown G., “A class of simple Lie algebras of characteristic three”, Proc. Amer. Math. Soc., 107 (1989), 901–905 | DOI | MR | Zbl

[8] Chan N. Z., “O dvukh klassakh prostykh algebr Li nad polem kharakteristiki 3”, Vestn. MGU. Ser. 1, matem., mekh., 2 (1992), 12–15 | Zbl