Global Integration of Leibniz Algebras
Journal of Lie theory, Tome 27 (2017) no. 2, pp. 555-567
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.
Classification :
17A32, 22A30, 22E99
Mots-clés : Leibniz algebra, Lie rack, augmented Leibniz algebra, augmented Lie rack, integration of Leibniz algebras
Mots-clés : Leibniz algebra, Lie rack, augmented Leibniz algebra, augmented Lie rack, integration of Leibniz algebras
@article{JLT_2017_27_2_JLT_2017_27_2_a12,
author = {M. Bordemann and F. Wagemann},
title = {Global {Integration} of {Leibniz} {Algebras}},
journal = {Journal of Lie theory},
pages = {555--567},
year = {2017},
volume = {27},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_2_JLT_2017_27_2_a12/}
}
M. Bordemann; F. Wagemann. Global Integration of Leibniz Algebras. Journal of Lie theory, Tome 27 (2017) no. 2, pp. 555-567. http://geodesic.mathdoc.fr/item/JLT_2017_27_2_JLT_2017_27_2_a12/