%0 Journal Article
%A Ancochea Bermúdez, José María
%A Campoamor Stursberg, Otto-Rudwig
%T On certain families of naturally graded Lie algebras
%D 2002
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/58406
%X In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n; q; 1) with n ≡ 1(mod 2) satisfying the centralizer property are given. This centralizer property constitutes a generalization, for any nilpotent algebra, of the structural properties characterizing the Lie algebra Qn. By considering certain cohomological classes of the space H2(g;C), it is shown that, with few exceptions, the isomorphism classes of these algebras are given by central extensions of Qn by Cp which preserve the nilindex and thenatural graduation.
%~