On certain families of naturally graded Lie algebras

Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-Rudwig2023-06-202023-06-202002-05-080022-404910.1016/S0022-4049(01)00085-8https://hdl.handle.net/20.500.14352/58406In 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 the natural graduation.engOn certain families of naturally graded Lie algebrasjournal articlehttps//doi.org/10.1016/S0022-4049(01)00085-8http://www.sciencedirect.com/science/article/pii/S0022404901000858restricted access512.554.3Álgebra1201 Álgebra