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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

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

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