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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
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 |
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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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