Morozov, V. V. Classification of nilpotent Lie algebras of dimension six. (Russian) Zbl 0198.05501 Izv. Vyssh. Uchebn. Zaved., Mat. 1958, No. 4(5), 161-171 (1958). All nilpotent Lie algebras of dimension 6 over a field of characteristic 0 are explicitly determined. Use is made of the fact that any Lie algebra of dimension \(n\) contains a commutative ideal of dimension \(m\geq \frac 12 (\sqrt{8n+1}-1)\). Reviewer: Rimhak Ree (M. R. 24, A190) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 78 Documents MSC: 17B30 Solvable, nilpotent (super)algebras Keywords:nilpotent Lie algebras of dimension six PDF BibTeX XML Cite \textit{V. V. Morozov}, Izv. Vyssh. Uchebn. Zaved., Mat. 1958, No. 4(5), 161--171 (1958; Zbl 0198.05501) OpenURL