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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

##### MSC:
 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
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##### References:
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