Geodesic
On solvable Lie algebras decomposable into a sum of two nilpotent subalgebras
Sbornik. Mathematics, Tome 83 (1995) no. 1, pp. 221-235 
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/
@article{SM_1995_83_1_a10,
     author = {V. V. Panyukov},
     title = {On solvable {Lie} algebras decomposable into a~sum of two nilpotent subalgebras},
     journal = {Sbornik. Mathematics},
     pages = {221--235},
     year = {1995},
     volume = {83},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_83_1_a10/}
}
TY  - JOUR
AU  - V. V. Panyukov
TI  - On solvable Lie algebras decomposable into a sum of two nilpotent subalgebras
JO  - Sbornik. Mathematics
PY  - 1995
SP  - 221
EP  - 235
VL  - 83
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1995_83_1_a10/
LA  - en
ID  - SM_1995_83_1_a10
ER  - 
%0 Journal Article
%A V. V. Panyukov
%T On solvable Lie algebras decomposable into a sum of two nilpotent subalgebras
%J Sbornik. Mathematics
%D 1995
%P 221-235
%V 83
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1995_83_1_a10/
%G en
%F SM_1995_83_1_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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