A comment on the integration of Leibniz algebras

Details A comment on the integration of Leibniz algebras A comment on the integration of Leibniz algebras

2010-11-26

arxiv.org/abs/1011.5698v2

Mathematics

Rings and Algebras

6 pages

Scientific paper

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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