%0 Journal Article
%A Ancochea Bermúdez, José María
%A Goze, Michel
%A Halkimjanov, Yu. B.
%T Sur les composantes de la variété des algèbres de Lie nilpotentes
%D 1992
%@ 0764-4442
%U https://hdl.handle.net/20.500.14352/58429
%X The scheme of the Lie algebras of dimension n  is reducible for n≥2  and the number of its components is bounded asymptotically by exp(n/4) . The same problem is studied by the authors for the subvariety N n   of the nilpotent Lie algebras of dimension n . For n≥7 , N n   is reducible and it is proved in this paper that there exists at least one component which does not contain filiform laws. Then the authors give an asymptotic estimation, equal to n/74 , for the number of the components of N n  .
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