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On certain families of naturally graded Lie algebras

✍ Scribed by José Marı́a Ancochea Bermúdez; Rutwig Campoamor Stursberg

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
198 KB
Volume
170
Category
Article
ISSN
0022-4049

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✦ Synopsis

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 H 2 (g; C), it is shown that, with few exceptions, the isomorphism classes of these algebras are given by central extensions of Qn by C p which preserve the nilindex and the natural graduation.

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