The extension problem for Lie group homomorphisms (Q688087)

The 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.