RT Journal Article T1 Sur les composantes de la variété des algèbres de Lie nilpotentes A1 Ancochea Bermúdez, José María A1 Goze, Michel A1 Halkimjanov, Yu. B. AB 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 . PB Elsevier SN 0764-4442 YR 1992 FD 1992 LK https://hdl.handle.net/20.500.14352/58429 UL https://hdl.handle.net/20.500.14352/58429 LA fra DS Docta Complutense RD 17 abr 2025