$A$-Generalized Hessian pre-Lie algebras and $A$-Generalized Yang--Baxter Equations

Yining Sun, Zeyu Hao, Ziyi Zhang +1

Inspired by the problem of constructing ($\omega$-)pre-Lie algebra structures on the dual space of a pre-Lie algebra, we introduce the \(A\)-generalized Yang--Baxter equation as a gener…