Geodesic
On maximal extensions of nilpotent Lie algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 4, pp. 25-34

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

Extensions of finite-dimensional nilpotent Lie algebras, in particular, solvable extensions, are considered. Some properties of maximal extensions are proved. A counterexample to L. Šnobl's conjecture concerning the uniqueness of maximal solvable extensions is constructed.
Keywords: nilpotent Lie algebra, extension, splitting.
Mots-clés : solvable Lie algebra 
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     author = {V. V. Gorbatsevich},
     title = {On maximal extensions of nilpotent {Lie} algebras},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {25--34},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2022_56_4_a2/}
}
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V. V. Gorbatsevich. On maximal extensions of nilpotent Lie algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 4, pp. 25-34. http://geodesic.mathdoc.fr/item/FAA_2022_56_4_a2/