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Original Articles

A Comment on the Integration of Leibniz Algebras

Pages 185-194 | Received 25 Jan 2011, Published online: 04 Jan 2013
 

Abstract

In this note we point out that the definition of the universal enveloping dialgebra for a Leibniz algebra is consistent with the interpretation of a Leibniz algebra as a generalization not of a Lie algebra, but of the adjoint representation of a Lie algebra. From this point of view, the formal integration problem of Leibniz algebras is, essentially, trivial.

2010 Mathematics Subject Classification:

Notes

We shall use the Einstein summation convention.

Communicated by I. Shestakov.

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