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

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