Geodesic
Reductive homogeneous spaces and nonassociative algebras
Communications in Mathematics, Tome 28 (2020) no. 2, pp. 199-229.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu \cite {Nom54} that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.
Classification : 17A99, 17B60, 22F30, 53B05, 53C30
Keywords: Reductive homogeneous space; invariant affine connection; Lie-Yamaguti algebra 
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Elduque, Alberto. Reductive homogeneous spaces and nonassociative algebras. Communications in Mathematics, Tome 28 (2020) no. 2, pp. 199-229. http://geodesic.mathdoc.fr/item/COMIM_2020__28_2_a7/