EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 15, No. 1, pp. 269–278 (2005)

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The classification of all simple Lie groups with surjective exponential map

Michael Wuestner

Michael Wüstner
Fachbereich Mathematik
Technische Universität Darmstadt
Schlo{ß}gartenstr. 7
64289 Darmstadt
Germany
michael.wuestner@gmx.de

Abstract: 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.

Classification (MSC2000): 22E15, 22E46

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