Một số kết quả về nhóm Lie và đại số Lie đơn exponent yếu

Tóm tắt

In this paper, based on results of Kneeb K. H., we describe simple real Lie
algebras g for which there exist connected Lie groups with dense images of the exponential
function. We also describe the simple real Lie algebras for which the exponential functions
of the associated simply connected Lie groups have dense images. Case by case analysis
has led to the classification of weakly exponential simple Lie algebras. It is a result that
non-compact non-complex simple Lie algebras are completely weakly exponential or not.
Then we apply for weakly exponential semisimple Lie groups.