Geodesic
An Integrability Criterion for Banach-Lie Triple Systems
Michael Klotz1
1Technische Universität, Schlossgartenstr. 7, 64289 Darmstadt, Germany
Journal of Lie Theory, Tome 22 (2012) no. 1, pp. 205-244

Voir la notice de l'article provenant de la source Heldermann Verlag

To give a criterion for the integrability of Banach-Lie triple systems, we follow the construction of the period group of a Lie algebra and define the period group of a Lie triple system as an analogous concept. We show that a Lie triple system is integrable if and only if its period group is discrete. Along the way, we see how to turn the path and the loop space of a pointed symmetric space into pointed symmetric spaces.
Classification : 53C35, 22E65
Mots-clés : Banach symmetric space, Lie triple system, period group, path space

Michael Klotz  1

1 Technische Universität, Schlossgartenstr. 7, 64289 Darmstadt, Germany 
Michael Klotz. An Integrability Criterion for Banach-Lie Triple Systems. Journal of Lie Theory, Tome 22 (2012) no. 1, pp. 205-244. http://geodesic.mathdoc.fr/item/JOLT_2012_22_1_a7/
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