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arXiv · 1010.4632

An Integrability Criterion for Banach-Lie Triple Systems

Michael Klotz
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Abstract

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.

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Michael Klotz. 2010-10-22. An Integrability Criterion for Banach-Lie Triple Systems. https://arxiv.org/abs/1010.4632

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