Reductive homogeneous spaces and nonassociative algebras

Alberto Elduque

The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu [21] that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.

Domaines: Mathématiques [math]

Alberto Elduque. Reductive homogeneous spaces and nonassociative algebras. Communications in Mathematics, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) (2), pp.199 - 229. ⟨10.2478/cm-2020-0014⟩. ⟨hal-03664996⟩