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Journal of Lie Theory 27 (2017), No. 2, 555--567
Copyright Heldermann Verlag 2017

Global Integration of Leibniz Algebras

Martin Bordemann
Laboratoire de Mathématiques, Informatique et Applications, Université de Haute Alsace, 4-6 rue des Frères Lumière, 68093 Mulhouse, France

Friedrich Wagemann
Laboratoire de Mathématiques Jean Leray, Université de Nantes, 2 rue de la Houssinière, 44322 Nantes cedex 3, France

Ee present a global integration procedure of any real finite-dimensional Leibniz algebra into a Lie rack which reduces in the particular case of a Lie algebra to the ordinary connected simply connected Lie group. The construction is not functorial.

Keywords: Leibniz algebra, Lie rack, augmented Leibniz algebra, augmented Lie rack, integration of Leibniz algebras.

MSC: 17A32, 22A30, 22E99

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