Associativity and Integrability

@article{Fernandes2018AssociativityAI,
  title={Associativity and Integrability},
  author={R. Fernandes and Daan Michiels},
  journal={arXiv: Differential Geometry},
  year={2018}
}
We discuss the problem of extending a local Lie groupoid to a global Lie groupoid. First, we show that the classical Mal'cev's theorem, which characterizes local Lie groups that can be extended to global Lie groups, also holds in the groupoid setting. Next, we describe a construction that can be used to obtain any local Lie groupoid with integrable algebroid, extending a construction for local Lie groups due to Olver. Last, our main result establishes a precise relationship between the… Expand

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