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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Official URL: http://dx.doi.org/10.1016/j.jpaa.2011.08.004
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: | 26 Jul 2012 18:04 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/40728 |
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