Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent Lie algebras

Towers, David (2020) Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent Lie algebras. Linear and Multilinear Algebra. ISSN 0308-1087

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Abstract

In this paper, we continue the study of abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable and nilpotent Lie algebras. We show that supersolvable Lie algebras with an abelian subalgebra of codimension 3 contain an abelian ideal with the same dimension, provided that the characteristic of the underlying field is not two, and that the same is true for nilpotent Lie algebras with an abelian subalgebra of codimension 4, provided that the char- acteristic of the field is greater than five.

Item Type:
Journal Article
Journal or Publication Title:
Linear and Multilinear Algebra
Additional Information:
This is an Accepted Manuscript of an article published by Taylor & Francis in Linear and Multilinear Algebra on 20/08/2020, available online: https://www.tandfonline.com/doi/abs/10.1080/03081087.2020.1805399
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
ID Code:
147534
Deposited By:
Deposited On:
21 Sep 2020 14:55
Refereed?:
Yes
Published?:
Published
Last Modified:
25 Oct 2020 07:10