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Maximal subalgebras of Lie algebras containing Engel subalgebras.

Towers, David A. (2012) Maximal subalgebras of Lie algebras containing Engel subalgebras. Journal of Pure and Applied Algebra, 216 (3). pp. 688-693. ISSN 0022-4049

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    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.

    Item Type: Article
    Journal or Publication Title: Journal of Pure and Applied Algebra
    Additional Information: 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.
    Uncontrolled Keywords: Lie algebras ; c-ideals ; maximal subalgebras ; Engel subalgebras ; solvable algebras ; supersolvable algebras ; subalgebras of codimension one.
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 40728
    Deposited By: Dr David A. Towers
    Deposited On: 21 Apr 2011 09:25
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Apr 2014 22:04
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/40728

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