AbstractThe fact that Lie algebra homomorphisms can be extended to Lie group homomorphisms, provided the source is simply connected, is well-known. The situation in the non-simply connected case is less clear. In this paper, we show how ideas from differential geometry provide a unifying viewpoint about such extension problems. In particular, the holonomy bundle of a flat invariant connection plays a central role
AbstractLet H be a closed normal subgroup of a compact Lie group G such that G/H is connected. This ...
. Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the...
We consider the extension problem for Lie algebroids over schemes over a field. Given a locally free...
Due to a result by Mackenzie, extensions of transitive Lie groupoids are equivalent to certain Lie g...
Abstract. We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomo...
An affine connection is one of the basic objects of interest in differential geometry. It provides a...
summary:We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical inter...
The holonomy group arising from a linear connection and differential homotopy is a classical subject...
For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie ...
AbstractWe discuss the ways in which a Lie group G can act as a group of transformations of a topolo...
The following two homotopic notions are important in many domains of differential geometry: - homoto...
Given a flat connection α on a manifold M with values in a filtered L∞-algebra g, we construct a mor...
The study of the relation between Lie algebras and groups, and especially the derivation of new alge...
We observe that any regular Lie groupoid G over an manifold M fits into an extension K → G → E of a...
The purpose of the work is the classification of three-dimensional homogeneous spaces, allowing a no...
AbstractLet H be a closed normal subgroup of a compact Lie group G such that G/H is connected. This ...
. Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the...
We consider the extension problem for Lie algebroids over schemes over a field. Given a locally free...
Due to a result by Mackenzie, extensions of transitive Lie groupoids are equivalent to certain Lie g...
Abstract. We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomo...
An affine connection is one of the basic objects of interest in differential geometry. It provides a...
summary:We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical inter...
The holonomy group arising from a linear connection and differential homotopy is a classical subject...
For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie ...
AbstractWe discuss the ways in which a Lie group G can act as a group of transformations of a topolo...
The following two homotopic notions are important in many domains of differential geometry: - homoto...
Given a flat connection α on a manifold M with values in a filtered L∞-algebra g, we construct a mor...
The study of the relation between Lie algebras and groups, and especially the derivation of new alge...
We observe that any regular Lie groupoid G over an manifold M fits into an extension K → G → E of a...
The purpose of the work is the classification of three-dimensional homogeneous spaces, allowing a no...
AbstractLet H be a closed normal subgroup of a compact Lie group G such that G/H is connected. This ...
. Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the...
We consider the extension problem for Lie algebroids over schemes over a field. Given a locally free...
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