论文标题
联想和古典阳边方程的三角解决方案的几何化
Geometrization of trigonometric solutions of the associative and classical Yang-Baxter equations
论文作者
论文摘要
我们描述了关联和古典杨巴克斯特方程的所有非排定三角解的几何结构。在关联情况下，解决方案来自算术属不可还原的节点曲线$ 1 $的对称球形订单，而在谎言情况下，它们来自同一曲线的谎言代数的球形搁板。
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.
