Ancochea Bermúdez, José MaríaGoze, MichelHalkimjanov, Yu. B.2023-06-202023-06-2019920764-4442https://hdl.handle.net/20.500.14352/58429The 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 .frajournal articlehttp://gallica.bnf.fr/ark:/12148/bpt6k58688425.image.langES.r=Comptes%20Rendus%20de%20l'Academie%20des%20Sciences%20Serie%20I-Mathématiquehttp://gallica.bnf.fr/?lang=ESrestricted access512.554.3variety of nilpotent Lie algebrasirreducible componentsfiliform lawÁlgebra1201 Álgebra