On solvable Lie algebras decomposable into a sum of two nilpotent subalgebras
Sbornik. Mathematics, Tome 83 (1995) no. 1, pp. 221-235 Cet article a éte moissonné depuis la source Math-Net.Ru

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Finite-dimensional Lie algebras over an algebraically closed field of positive characteristic representable as a sum (not necessarily direct) of two nilpotent subalgebras are studied. Necessary and sufficient conditions are obtained for a Lie algebra to be decomposable into a sum of two Cartan subalgebras.
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V. V. Panyukov. On solvable Lie algebras decomposable into a sum of two nilpotent subalgebras. Sbornik. Mathematics, Tome 83 (1995) no. 1, pp. 221-235. http://geodesic.mathdoc.fr/item/SM_1995_83_1_a10/

[1] Goto M., “Note on a characterization of solvable Lie algebras”, J. Sci. Hiroshiva Univ. Ser. A-1, 26:1 (1962), 1–2 | MR | Zbl

[2] Panyukov V. V., “O razreshimosti algebr Li polozhitelnoi kharakteristiki”, UMN, 45:4 (1990), 163–164 | MR | Zbl

[3] Block R., “On the extansions of Lie algebras”, Canad. J. Math., 20:6 (1968), 1439–1450 | MR | Zbl

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