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Sur les variétés d’algèbres de Lie de dimension \(\leq 7\). (French) Zbl 0546.17006
The varieties \(L_ m\) of Lie algebra structures of dimension \(m\leq 7\) over an algebraically closed field K, char K\(=0\), are studied. Using the known classification of nilpotent Lie algebras of dimension \(\leq 6\) and the density of the decomposable Lie algebra laws, the authors determine all the irreducible components and open orbits of the varieties \(L_ m\).
Reviewer: S.Prishchepionok

17B99 Lie algebras and Lie superalgebras
17B05 Structure theory for Lie algebras and superalgebras
17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
Full Text: DOI
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