Weakly exponential Lie groups
The author lists all simple real Lie algebras for which there exist connected Lie groups with dense images of the exponential function, and describes the simple real Lie algebras for which the exponential functions of the associated simply connected Lie groups have dense images. A Lie group is weakly exponential if the image of its exponential function is dense. Methods which are useful in determining whether a reductive Lie group is weakly exponential or not are given. It is a classical results that complex and compact simple Lie groups are weakly exponential.
scientific article; zbMATH DE number 843870