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math-ph2025
Leibniz -algebras, linear -racks and the Zamolodchikov Tetrahedron equation
Nanyan Xu, Yunhe Sheng
In this paper, first we show that a central Leibniz 2-algebra naturally gives rise to a solution of the Zamolodchikov Tetrahedron equation. Then we introduce the notion of linear 2…
math-ph2024
The Yang-Baxter equation, Leibniz algebras, racks and related algebraic structures
Nanyan Xu, Yunhe Sheng
The purpose of this paper is to clarify the relations between various constructions of solutions of the Yang-Baxter equation from Leibniz algebras, racks, 3-Leibniz algebras, 3-rac…