Leibniz Algebras and Lie Algebras

Leibniz Algebras and Lie Algebras

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.

Bibliographic Details
Main Authors: Geoffrey Mason, Gaywalee Yamskulna
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Leibniz algebras
Lie algebras
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.063
Description
Summary: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.
ISSN:1815-0659

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