Companion Lie Algebras of Leibniz Algebras
Allison McAlister, Ernie Stitzinger, Ashley White
TL;DR
This paper develops a technique to translate results from Lie algebras to Leibniz algebras, facilitating the extension of known properties without re-deriving proofs.
Contribution
It introduces a method for transferring results from Lie to Leibniz algebras, simplifying the study of Leibniz algebra properties.
Findings
A new technique for relating Lie and Leibniz algebras.
Applications demonstrating the utility of the technique.
Abstract
In extending results from Lie to Leibniz algebras, it is helpful to have techniques which translate results from the former to the latter without having to repeat the (perhaps modified) arguments. Such a technique is developed in this work, and some applications are given.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology