Towers, David A. (2011) The index complex of a maximal subalgebra of a Lie algebra. Proceedings of the Edinburgh Mathematical Society, 54 (2). pp. 531542. ISSN 00130915

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Official URL: https://doi.org/10.1017/S0013091509001035
Abstract
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M. The set I(M) of all completions of M is called the index complex of M in L. We use this concept to investigate the influence of the maximal subalgebras on the structure of a Lie algebra, in particular finding new characterisations of solvable and supersolvable Lie algebras.
Item Type:  Journal Article 

Journal or Publication Title:  Proceedings of the Edinburgh Mathematical Society 
Additional Information:  http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of The Edinburgh Mathematical Society, 54 (2), pp 531542 2011, © 2011 Cambridge University Press. 
Uncontrolled Keywords:  /dk/atira/pure/researchoutput/libraryofcongress/qa 
Subjects:  
Departments:  Faculty of Science and Technology > Mathematics and Statistics 
ID Code:  27158 
Deposited By:  Dr David A. Towers 
Deposited On:  05 Oct 2009 14:06 
Refereed?:  Yes 
Published?:  Published 
Last Modified:  18 Sep 2019 00:29 
URI:  https://eprints.lancs.ac.uk/id/eprint/27158 
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