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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
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
Citation:
Geoffrey Mason, Gaywalee Yamskulna, “Leibniz Algebras and Lie Algebras”, SIGMA, 9 (2013), 063, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma846 https://www.mathnet.ru/eng/sigma/v9/p63
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