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

Standard

The generalised nilradical of a Lie algebra. / Towers, David Anthony.
In: Journal of Algebra, Vol. 470, 15.01.2017, p. 197-218.

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

Harvard

Towers, DA 2017, 'The generalised nilradical of a Lie algebra', Journal of Algebra, vol. 470, pp. 197-218. https://doi.org/10.1016/j.jalgebra.2016.08.037

APA

Towers, D. A. (2017). The generalised nilradical of a Lie algebra. Journal of Algebra, 470, 197-218. https://doi.org/10.1016/j.jalgebra.2016.08.037

Vancouver

Towers DA. The generalised nilradical of a Lie algebra. Journal of Algebra. 2017 Jan 15;470:197-218. Epub 2016 Sept 15. doi: 10.1016/j.jalgebra.2016.08.037

Author

Towers, David Anthony. / The generalised nilradical of a Lie algebra. In: Journal of Algebra. 2017 ; Vol. 470. pp. 197-218.

Bibtex

@article{6b7f2c74267e46b9ac1373bf8559ae77,
title = "The generalised nilradical of a Lie algebra",
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.",
keywords = "Lie algebras, Generalised nilradical, Quasi-nilpotent radical, Quasi-minimal, Quasi-simple, Socle, Centraliser",
author = "Towers, {David Anthony}",
note = "This is the author{\textquoteright}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",
year = "2017",
month = jan,
day = "15",
doi = "10.1016/j.jalgebra.2016.08.037",
language = "English",
volume = "470",
pages = "197--218",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",

}

RIS

TY - JOUR

T1 - The generalised nilradical of a Lie algebra

AU - Towers, David Anthony

N1 - 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

PY - 2017/1/15

Y1 - 2017/1/15

N2 - 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.

AB - 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.

KW - Lie algebras

KW - Generalised nilradical

KW - Quasi-nilpotent radical

KW - Quasi-minimal

KW - Quasi-simple

KW - Socle

KW - Centraliser

U2 - 10.1016/j.jalgebra.2016.08.037

DO - 10.1016/j.jalgebra.2016.08.037

M3 - Journal article

VL - 470

SP - 197

EP - 218

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -