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Preprint . 2012
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zbMATH Open
Article . 2014
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Journal of Lie Theory
Article . 2014 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2012
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On Certain Decompositions of Solvable Lie Algebras

On certain decompositions of solvable Lie algebras
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Dec 2012 United Kingdom English Publisher:MathDoc/Centre MersenneJournal:Journal of Lie Theory, volume 24, pages 969-978 (eissn: 0949-5932, Copyright policy )Funded by:FCT | LA 1
Authors: Towers, David;

doi: 10.5802/jolt.815 , 10.48550/arxiv.1212.0760

arXiv: 1212.0760

On Certain Decompositions of Solvable Lie Algebras

Abstract

The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. However, neither of these classes is contained in the other. The object of this paper is to find a larger class of algebras, containing each of these classes, in which these same results hold.

Country
United Kingdom
Related Organizations
Keywords

Solvable, nilpotent (super)algebras, Modular Lie (super)algebras, splitting, 17B05, 17B20, 17B30, 17B50, FOS: Physical sciences, solvable, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), 510, 004, complemented, Lie algebras, Rings and Algebras (math.RA), completely completely solvable, \(A\)-algebras, Frattini ideal, FOS: Mathematics, Structure theory for Lie algebras and superalgebras, Representation Theory (math.RT), monolithic, Simple, semisimple, reductive (super)algebras, Mathematical Physics, Mathematics - Representation Theory

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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!
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