Global Integration of Leibniz Algebras
Journal of Lie Theory, Volume 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.
DOI:
10.5802/jolt.959
Classification:
17A32, 22A30, 22E99
Keywords: Leibniz algebra, Lie rack, augmented Leibniz algebra, augmented Lie rack, integration of Leibniz algebras
Keywords: Leibniz algebra, Lie rack, augmented Leibniz algebra, augmented Lie rack, integration of Leibniz algebras
@article{JOLT_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},
doi = {10.5802/jolt.959},
zbl = {1418.17005},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.959/}
}
M. Bordemann; F. Wagemann. Global Integration of Leibniz Algebras. Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 555-567. doi: 10.5802/jolt.959
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