A Comment on the Integration of Leibniz Algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 31 Jan 2013Embargo end date: 01 Nov 2010 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 41, pages 185-194 (issn: 0092-7872, eissn: 1532-4125,

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Authors: Mostovoy, Jacob;

doi: 10.1080/00927872.2011.625562 , 10.48550/arxiv.1011.5698

arXiv: 1011.5698

A Comment on the Integration of Leibniz Algebras

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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.

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Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras

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