Journal of Lie Theory

no. 4
Notes on Cohomologies of Lie Triple Systems
Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 909-929
The cohomology theory of Lie triple systems in the sense of Yamaguti is studied by means of cohomology of Leibniz algebras in the sense of Loday. The notion of Nijenhuis operators for Lie triple systems is introduced to describe trivial deformations. We also study the abelian extensions of Lie triple systems in details.
DOI: 10.5802/jolt.812
Classification: 17A40, 17A30, 17B56
Keywords: Lie triple systems, cohomology, deformations, Nijenhuis operators, abelian extensions 
@article{JOLT_2014_24_4_a0,
     author = {T. Zhang},
     title = {Notes on {Cohomologies} of {Lie} {Triple} {Systems}},
     journal = {Journal of Lie Theory},
     pages = {909--929},
     year = {2014},
     volume = {24},
     number = {4},
     doi = {10.5802/jolt.812},
     zbl = {1315.17003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.812/}
}
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T. Zhang. Notes on Cohomologies of Lie Triple Systems. Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 909-929. doi: 10.5802/jolt.812

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