Leibniz Algebras and Lie Algebras

Published 24 Jan 2012 in math.RA | (1201.5071v2)

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.

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