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Communications in Algebra Volume 41, 2013 - Issue 1
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Original Articles

A Comment on the Integration of Leibniz Algebras

J. Mostovoy Departamento de Matemáticas, CINVESTAV-IPN, México, MéxicoCorrespondence[email protected]
Pages 185-194 | Received 25 Jan 2011, Published online: 04 Jan 2013
 
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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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