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
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spelling doaj-1fc230d39f05425f99407d894f4fbf692020-11-24T21:06:00ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592013-10-01906310.3842/SIGMA.2013.063Leibniz Algebras and Lie AlgebrasGeoffrey MasonGaywalee YamskulnaThis 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.http://dx.doi.org/10.3842/SIGMA.2013.063Leibniz algebrasLie algebras
collection DOAJ
language English
format Article
sources DOAJ
author Geoffrey Mason
Gaywalee Yamskulna
spellingShingle Geoffrey Mason
Gaywalee Yamskulna
Leibniz Algebras and Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications
Leibniz algebras
Lie algebras
author_facet Geoffrey Mason
Gaywalee Yamskulna
author_sort Geoffrey Mason
title Leibniz Algebras and Lie Algebras
title_short Leibniz Algebras and Lie Algebras
title_full Leibniz Algebras and Lie Algebras
title_fullStr Leibniz Algebras and Lie Algebras
title_full_unstemmed Leibniz Algebras and Lie Algebras
title_sort leibniz algebras and lie algebras
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2013-10-01
description 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.
topic Leibniz algebras
Lie algebras
url http://dx.doi.org/10.3842/SIGMA.2013.063
work_keys_str_mv AT geoffreymason leibnizalgebrasandliealgebras
AT gaywaleeyamskulna leibnizalgebrasandliealgebras
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