On solvable Lie algebras decomposable into a~sum of two nilpotent subalgebras
Sbornik. Mathematics, Tome 83 (1995) no. 1, pp. 221-235
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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.
@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},
publisher = {mathdoc},
volume = {83},
number = {1},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_83_1_a10/}
}
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/