On the integrability of subalgebroids
Differential Geometry
2007-05-23 v1 Symplectic Geometry
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.
Cite
@article{arxiv.math/0406558,
title = {On the integrability of subalgebroids},
author = {I. Moerdijk and J. Mrcun},
journal= {arXiv preprint arXiv:math/0406558},
year = {2007}
}