The generalised nilradical of a Lie algebra

Towers, David Anthony (2017) The generalised nilradical of a Lie algebra. Journal of Algebra, 470. pp. 197-218. ISSN 0021-8693

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A solvable Lie algebra L has the property that its nilradical N contains its own centraliser. This is interesting because gives a representation of L as a subalgebra of the derivation algebra of its nilradical with kernel equal to the centre of N. Here we consider several possible generalisations of the nilradical for which this property holds in any Lie algebra.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Algebra
Additional Information:
This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 470, 2016 DOI: 10.1016/j.algebra.2016.08.037
Uncontrolled Keywords:
?? lie algebrasgeneralised nilradicalquasi-nilpotent radicalquasi-minimalquasi-simplesoclecentraliseralgebra and number theory ??
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Deposited On:
21 Sep 2016 10:36
Last Modified:
31 Dec 2023 00:37