Add to ORKGLet 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
We establish a criterion for when an abelian extension of infinitedimensional Lie algebras ǧ = g ⊕ωa...
International audienceCartan–Lie algebroids, i.e., Lie algebroids equipped with a compatible connect...
Lie theory for the integration of Lie algebroids to Lie groupoids, on the one hand, and of Poisson m...
Abstract. Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie ...
AbstractFor a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it...
AbstractFor a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it...
We introduce singular subalgebroids of an integrable Lie algebroid, extending the notion of Lie suba...
Contains fulltext : 129007.pdf (author's version ) (Open Access
We use foliations and connections on principal Lie groupoid bundles to prove various integrability ...
In this thesis, we develop two methods for constructing Lie groupoids. The first method is a blow...
In this thesis, we develop two methods for constructing Lie groupoids. The first method is a blow...
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equiv...
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equiv...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
We establish a criterion for when an abelian extension of infinitedimensional Lie algebras ǧ = g ⊕ωa...
International audienceCartan–Lie algebroids, i.e., Lie algebroids equipped with a compatible connect...
Lie theory for the integration of Lie algebroids to Lie groupoids, on the one hand, and of Poisson m...
Abstract. Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the case of Lie ...
AbstractFor a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it...
AbstractFor a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it...
We introduce singular subalgebroids of an integrable Lie algebroid, extending the notion of Lie suba...
Contains fulltext : 129007.pdf (author's version ) (Open Access
We use foliations and connections on principal Lie groupoid bundles to prove various integrability ...
In this thesis, we develop two methods for constructing Lie groupoids. The first method is a blow...
In this thesis, we develop two methods for constructing Lie groupoids. The first method is a blow...
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equiv...
We show that the path construction integration of Lie algebroids by Lie groupoids is an actual equiv...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
The infinitesimal data attached to a (“finite type” class of) G-structures with connections are its ...
We establish a criterion for when an abelian extension of infinitedimensional Lie algebras ǧ = g ⊕ωa...
International audienceCartan–Lie algebroids, i.e., Lie algebroids equipped with a compatible connect...
Lie theory for the integration of Lie algebroids to Lie groupoids, on the one hand, and of Poisson m...