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Classification of nilpotent Lie algebras of dimension six. (Russian) Zbl 0198.05501
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 $$m\geq \frac 12 (\sqrt{8n+1}-1)$$.

##### MSC:
 17B30 Solvable, nilpotent (super)algebras
##### Keywords:
nilpotent Lie algebras of dimension six