RT Journal Article T1 On certain families of naturally graded Lie algebras A1 Ancochea Bermúdez, José María A1 Campoamor Stursberg, Otto-Rudwig AB 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. PB Elsevier Science SN 0022-4049 YR 2002 FD 2002-05-08 LK https://hdl.handle.net/20.500.14352/58406 UL https://hdl.handle.net/20.500.14352/58406 LA eng NO Dirección General de Investigación Científica y Técnica (España) DS Docta Complutense RD 19 dic 2025