Journal of Lie Theory, Vol. 9, No. 2, pp. 487-489 (1999)

Description of infinite dimensional regular Lie groups

Peter Michor and Josef Teichmann

Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria, and: Erwin Schrödinger Institut für Mathematische Physik, Boltzmanngasse, A-1090 Wien, Austria, peter.michor@esi.ac.at, Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria, jteichma@radon.mat.univie.ac.at

Abstract: It is shown that every abelian regular Lie group is a quotient of its Lie algebra via the exponential mapping.

Keywords: Lie groups, infinite dimensional Lie groups

Classification (MSC91): 22E65; 58B25, 53C05

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