Journal of Lie Theory 15 (2005), No. 1, 269--278
Copyright Heldermann Verlag 2005
The Classification of all Simple Lie Groups with Surjective Exponential Map
Michael Wuestner
Fachbereich Mathematik, Technische Universität, Schloßgartenstr. 7, 64289 Darmstadt, Germany
michael.wuestner@gmx.de
A Lie group is called exponential, if its exponential function is surjective. Here a complete classification of simple exponential Lie groups is given. Moreover, semisimple exponential Lie groups are characterized by special factor groups of products of simple Lie groups.
Keywords: Simple Lie groups, semisimple Lie groups, exponential map, surjectivity.
MSC: 22E15; 22E46
[ Fulltext-pdf (207 KB)] for subscribers only.