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zbMATH Open
Article . 2013
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2012
License: CC BY NC SA
Data sources: Datacite
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Leibniz Algebras and Lie Algebras

Leibniz algebras and Lie algebras
Authors: Mason, G.; Yamskulna, G.;

Leibniz Algebras and Lie Algebras

Abstract

This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.

Keywords

algebraic structure of finite-dimensional complex Leibniz algebras, Lie algebras and Lie superalgebras, Mathematics - Rings and Algebras, 17A32, left central and symmetric Leibniz algebras, poset of Lie subalgebras, Lie algebras, Rings and Algebras (math.RA), QA1-939, FOS: Mathematics, Mathematics, Leibniz algebras

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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!
4
Average
Average
Average
Green
gold