Home > Research > Publications & Outputs > On abelian subalgebras and ideals of maximal di...

Electronic data

  • On abelian subalgebras and ideals of maximal di...

    Rights statement: The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra 218 (3), 2014, © ELSEVIER.

    Submitted manuscript, 149 KB, PDF-document

    Date added: 7/11/13

Text available via DOI:

View graph of relations

On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>03/2014
<mark>Journal</mark>Journal of Pure and Applied Algebra
Issue number3
Volume218
Number of pages16
Pages (from-to)497-503
<mark>State</mark>Published
Early online date27/07/13
<mark>Original language</mark>English

Abstract

In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie algebras and study solvable Lie algebras containing an abelian subalgebra of codimension 2. Finally, we prove that nilpotent 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. Throughout the paper, we also give several examples to clarify some results.

Bibliographic note

The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra 218 (3), 2014, © ELSEVIER.