Journal of Lie Theory

no. 1
An Integrability Criterion for Banach-Lie Triple Systems
Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 205-244
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.
DOI: 10.5802/jolt.666
Classification: 53C35, 22E65
Keywords: Banach symmetric space, Lie triple system, period group, path space 
@article{JOLT_2012_22_1_a7,
     author = {M. Klotz},
     title = {An {Integrability} {Criterion} for {Banach-Lie} {Triple} {Systems}},
     journal = {Journal of Lie Theory},
     pages = {205--244},
     year = {2012},
     volume = {22},
     number = {1},
     doi = {10.5802/jolt.666},
     zbl = {1236.53047},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.666/}
}
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M. Klotz. An Integrability Criterion for Banach-Lie Triple Systems. Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 205-244. doi: 10.5802/jolt.666

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