Geodesic
Notes on Cohomologies of Lie Triple Systems
Tao Zhang1
1College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China
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

Tao Zhang  1

1 College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China 
Tao 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/JOLT_2014_24_4_a0/
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     title = {Notes on {Cohomologies} of {Lie} {Triple} {Systems}},
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     year = {2014},
     volume = {24},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a0/}
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