结合型和经典杨-巴克斯特方程三角解的几何化
Geometrization of trigonometric solutions of the associative and classical Yang-Baxter equations
摘要：
本文描述了结合型和经典杨-巴克斯特方程的所有非退化三角解的尺规作图法。结合情形的解来自于算术亏格$1$的不可约节曲线上的对称球序，而李情形的解来自于同一曲线上的李代数的球层.
英文摘要：
We describe a geometric construction of all nondegenerate trigonometric solutions of the associative and classical Yang-Baxter equations. In the associative case the solutions come from symmetric spherical orders over the irreducible nodal curve of arithmetic genus $1$, while in the Lie case they come from spherical sheaves of Lie algebras over the same curve.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
