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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 063, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.063 (Mi sigma846) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Leibniz Algebras and Lie Algebras

Geoffrey Masona, Gaywalee Yamskulnabc

a Department of Mathematics, University of California, Santa Cruz, CA 95064, USA
b Department of Mathematical Sciences, Illinois State University, Normal, IL 61790, USA
c Institute of Science, Walailak University, Nakon Si Thammarat, Thailand
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DOI: https://doi.org/10.3842/SIGMA.2013.063
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: Leibniz algebras; Lie algebras.
Received: September 9, 2013; in final form October 19, 2013; Published online October 23, 2013
Bibliographic databases:
Document Type: Article
MSC: 17A32
Language: English
Citation: Geoffrey Mason, Gaywalee Yamskulna, “Leibniz Algebras and Lie Algebras”, SIGMA, 9 (2013), 063, 10 pp.
Citation in format AMSBIB
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\paper Leibniz Algebras and Lie Algebras
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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