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On certain families of naturally graded Lie algebras

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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2002) On certain families of naturally graded Lie algebras. Journal of Pure and Applied Algebra, 170 (1). pp. 1-27. ISSN 0022-4049

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022404901000858


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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
natural graduation.


Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:20930
Deposited On:19 Apr 2013 16:58
Last Modified:12 Dec 2018 15:13

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