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On certain families of naturally graded Lie algebras

By José María Ancochea Bermúdez and Otto Ruttwig Campoamor Stursberg

Abstract

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 the\ud natural graduation

Topics: Álgebra
Publisher: Elsevier Science
Year: 2002
DOI identifier: 10.1016/S0022-4049(01)00085-8
OAI identifier: oai:www.ucm.es:20930
Provided by: EPrints Complutense
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