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  • new ab in nilp

    Rights statement: 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

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

Research output: Contribution to journalJournal articlepeer-review

E-pub ahead of print
<mark>Journal publication date</mark>20/08/2020
<mark>Journal</mark>Linear and Multilinear Algebra
Number of pages23
Publication StatusE-pub ahead of print
Early online date20/08/20
<mark>Original language</mark>English

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.

Bibliographic note

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