Mubarakzyanov, G. M. On solvable Lie algebras. (Russian) Zbl 0166.04104 Izv. Vyssh. Uchebn. Zaved., Mat. 1963, No. 1(32), 114-123 (1963). 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. Reviewer: V. Latyshev (R. Zh. Mat. 1963, 11A223) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 109 Documents MSC: 17B30 Solvable, nilpotent (super)algebras Keywords:generalized rings, nonassociative rings PDF BibTeX XML Cite \textit{G. M. Mubarakzyanov}, Izv. Vyssh. Uchebn. Zaved., Mat. 1963, No. 1(32), 114--123 (1963; Zbl 0166.04104) OpenURL