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

[thumbnail of Generalised nilradical(revised 22.8.16)]

Preview

PDF (Generalised nilradical(revised 22.8.16))
Generalised_nilradical_revised_22.8.16_.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial-NoDerivs.
Download (293kB)

Abstract

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:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? lie algebrasgeneralised nilradicalquasi-nilpotent radicalquasi-minimalquasi-simplesoclecentraliseralgebra and number theory ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

81667

Deposited By:

ep_importer_pure

Deposited On:

21 Sep 2016 10:36

Refereed?:

Yes

Published?:

Published

Last Modified:

19 Sep 2024 01:53

URI:

https://eprints.lancs.ac.uk/id/eprint/81667