Ziyi Zhang

collaborators

3 papers

math.RA2026

Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification

Ziyi Zhang, Zeyu Hao, Yining Sun +1

In this paper, we characterize the nilpotency and solvability of Gelfand--Dorfman (GD) algebras. In contrast with Poisson algebras and transposed Poisson algebras, we give examples…

math-ph2026

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

Yining Sun, Zeyu Hao, Ziyi Zhang +1

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

math.RA2025

$I ¨ $ -Lie bialgebras and $I ¨ $ -Yang-Baxter equation

Yining Sun, Zeyu Hao, Ziyi Zhang +1

In this paper, we introduce the definition of multiplicative $I ¨ $ -Lie bialgebra, which is equivalent to the Manin triples and matched pairs. We also study the $I ¨ $ -Yang-Baxter equa…

Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification

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

I¨-Lie bialgebras and I¨-Yang-Baxter equation

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

$I ¨ $ -Lie bialgebras and $I ¨ $ -Yang-Baxter equation