2 papers
math.RA2026
Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras
Hui Hu, Yizhen Li, Guilai Liu +1
In this paper, we develop a bialgebra theory for diassociative algebras. Inspired by the notion of a quadratic diassociative algebra, we introduce the concept of a Manin triple of…
math.RA2024
Yang-Baxter equations and relative Rota-Baxter operators for left-Alia algebras associated to invariant theory
Kang Chuangchuang, Liu Guilai, Shizhuo Yu
Left-Alia algebras are a class of algebras with symmetric Jacobi identities. They contain several typical types of algebras as subclasses, and are closely related to the invariant…