Geodesic
Notes on Cohomologies of Lie Triple Systems
Journal of Lie theory, Tome 24 (2014) no. 4, pp. 909-929

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

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.
Classification : 17A40, 17A30, 17B56
Mots-clés : Lie triple systems, cohomology, deformations, Nijenhuis operators, abelian extensions 
@article{JLT_2014_24_4_JLT_2014_24_4_a0,
     author = {T. Zhang },
     title = {Notes on {Cohomologies} of {Lie} {Triple} {Systems}},
     journal = {Journal of Lie theory},
     pages = {909--929},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a0/}
}
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T. Zhang . Notes on Cohomologies of Lie Triple Systems. Journal of Lie theory, Tome 24 (2014) no. 4, pp. 909-929. http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a0/