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. [ProQuest: [...] deno...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2013-10, Vol.9, p.063
1. Verfasser: Mason, Geoffrey
Format: Artikel
Sprache:eng
Schlagworte:
Leibniz algebras
Lie algebras
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Beschreibung
Zusammenfassung: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. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2013.063