The local integration of Leibniz algebras

  title={The local integration of Leibniz algebras},
  author={Simon Covez},
  journal={arXiv: Rings and Algebras},
  • Simon Covez
  • Published 18 November 2010
  • Mathematics
  • arXiv: Rings and Algebras
This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem for Leibniz algebra. That is, we search a manifold provided with an algebraic structure which generalizes the structure of a (local) Lie group, and such that the tangent space at a distinguished point is a Leibniz algebra structure. Moreover, when the Leibniz algebra is a Lie algebra, we want that… 
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