论文标题
直接和单纯子方程的格拉曼尼亚参数解决方案
Grassmannian-parameterized solutions to direct-sum polygon and simplex equations
论文作者
论文摘要
我们考虑多边形和单纯形方程，其中最简单的非平凡示例分别是五角大楼（5 gon）和Yang-baxter（2-simplex）。我们在直接的矢量空间总和中检查了（2n+1）-gon和2n-simplex方程的一般结构。然后，我们为其解决方案提供了一个结构，该溶液是由Grassmannian GR（n+1,2n+1）的元素进行参数化的。
We consider polygon and simplex equations, of which the simplest nontrivial examples are pentagon (5-gon) and Yang--Baxter (2-simplex), respectively. We examine the general structure of (2n+1)-gon and 2n-simplex equations in direct sums of vector spaces. Then we provide a construction for their solutions, parameterized by elements of the Grassmannian Gr(n+1,2n+1).
