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Maximal subalgebras of Lie algebras containing Engel subalgebras.

Research output: Contribution to journalJournal article

Published

Journal publication date03/2012
JournalJournal of Pure and Applied Algebra
Journal number3
Volume216
Number of pages6
Pages688-693
Original languageEnglish

Abstract

Relationships between certain properties of maximal subalgebras of a Lie algebra L and the structure of L itself have been studied by a number of authors. Amongst the maximal subalgebras, however, some exert a greater influence on particular results than others. Here we study properties of those maximal subalgebras that contain Engel subalgebras, and of those that also have codimension greater than one in L.

Bibliographic note

The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra Volume 216, Issue 3, March 2012, Pages 688-693 © ELSEVIER.