Twisting $\mathcal{O}$-operators by $(2,3)$-Cocycle of Hom-Lie-Yamaguti Algebras with Representations

Sami Mabrouk, Sergei Silvestrov, Fatma Zouaidi

In this paper, we first introduce the notion of twisted $\mathcal{O}$-operators on a Hom-Lie-Yamaguti algebra by a given $(2,3)$-cocycle with coefficients in a representation. We sh…