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Journal of Pure and Applied Algebra
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Journal of Pure and Applied Algebra
Article . 2012
License: Elsevier Non-Commercial
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Maximal subalgebras of Lie algebras containing Engel subalgebras

Authors: Towers, David A.;

Maximal subalgebras of Lie algebras containing Engel subalgebras

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 $L$.

Country
United Kingdom
Related Organizations
Keywords

Solvable, nilpotent (super)algebras, Algebra and Number Theory, Rings and Algebras (math.RA), 616, FOS: Mathematics, Structure theory for Lie algebras and superalgebras, Mathematics - Rings and Algebras, Group Theory (math.GR), Mathematics - Group Theory, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Top 10%
Average
Green
hybrid