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On solvable Lie algebras. (Russian) Zbl 0166.04104

Translation from the Russian: The author studies the structure of solvable Lie algebras \(L_n\) of dimension \(n\) over a field of characteristic zero, which contain an \((n-1)\)-dimensional abelian ideal. Some results of an earlier paper of the author [Sbornik Aspirant Rabot. Kazan Univ., 103–105 (1962)] are proved. The classification of the real structures of Lie algebras up to the fifth order are given, which is fully equivalent to the one of S. Lie.

MSC:

17B30 Solvable, nilpotent (super)algebras
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