%0 Journal Article
%T An Integrability Criterion for Banach-Lie Triple Systems
%A Michael Klotz
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1010.4632v3