Para-Kähler and pseudo-Kähler structures on Lie-Yamaguti algebras

Jia Zhao, Yuqin Feng, Yu Qiao

For a pre-Lie-Yamaguti algebra $A$, by using its sub-adjacent Lie-Yamaguti algebra $A^c$, we are able to construct a semidirect product Lie-Yamaguti algebra via a representation of…