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A comment on the integration of Leibniz algebras

Rings and Algebras 2011-01-21 v2

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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Cite

@article{arxiv.1011.5698,
  title  = {A comment on the integration of Leibniz algebras},
  author = {Jacob Mostovoy},
  journal= {arXiv preprint arXiv:1011.5698},
  year   = {2011}
}

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6 pages