Leibniz algebras and Lie algebras

Details Leibniz algebras and Lie algebras Leibniz algebras and Lie algebras

2012-01-24

arxiv.org/abs/1201.5071v1

Mathematics

Rings and Algebras

13 pages

Scientific paper

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 sub-algebras using an associative
bilinear pairing taking values in the Leibniz kernel.

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