Home > Research > Publications & Outputs > The generalised nilradical of a Lie algebra

Research

Associated organisational unit

Electronic data

  • Generalised nilradical(revised 22.8.16)

    Rights statement: 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

    Accepted author manuscript, 286 KB, PDF document

    Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

Links

Text available via DOI:

Keywords

View graph of relations

The generalised nilradical of a Lie algebra

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>15/01/2017
<mark>Journal</mark>Journal of Algebra
Volume470
Number of pages22
Pages (from-to)197-218
Publication StatusPublished
Early online date15/09/16
<mark>Original language</mark>English

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.

Bibliographic note

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