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arxiv: 1011.5698 · v2 · pith:2WXTVFA7new · submitted 2010-11-26 · 🧮 math.RA

A comment on the integration of Leibniz algebras

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keywords algebraleibnizalgebrasintegrationpointadjointcommentconsistent
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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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