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On the integrability of subalgebroids

I. Moerdijk·J. Mrcun
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Abstract

Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie groups, not every subalgebroid of g can be integrated by a subgroupoid of G. In this paper we study conditions on the invariant foliation defined by a given subalgebroid under which such an integration is possible. We also consider the problem of integrability by closed subgroupoids, and we give conditions under which the closure of a subgroupoid is again a subgroupoid.

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I. Moerdijk, J. Mrcun. 2004-06-28. On the integrability of subalgebroids. https://arxiv.org/abs/math/0406558

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