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Exponentiality of Certain Real Solvable Lie Groups

Published online by Cambridge University Press:  20 November 2018

Martin Moskowitz  and
Michael Wüstner
Martin Moskowitz
Affiliation:
Department of Mathematics CUNY Graduate Center 33 W 42 Street New York NY 10036 USA, e-mail: mmoskowi@email.gc.cuny.edu
Michael Wüstner
Affiliation:
Fachbereich Mathematik Technische Universität Darmstadt Schloßgartenstraße 7 64289 Darmstadt Germany, e-mail: wuestner@mathematik.tu-darmstadt.de
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Abstract

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In this article, making use of the second author’s criterion for exponentiality of a connected solvable Lie group, we give a rather simple necessary and sufficient condition for the semidirect product of a torus acting on certain connected solvable Lie groups to be exponential.

Keywords

22E2522E15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 3 , 01 September 1998 , pp. 368 - 373
Copyright
Copyright © Canadian Mathematical Society 1998

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