论文标题
YANG-BAXTER方程的不可分解解决方案，具有置换尺寸$ PQ $和$ P^2Q $的置换组
Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes $pq$ and $p^2q$
论文作者
论文摘要
在本文中，我们研究了杨巴克斯特方程的不可分解溶液的分类问题。使用Bachiller，Cedó和Jespers提出的方案，以及牙套分类的最新进展，我们将所有不可分解的解决方案与某些特定置换组分类。我们为所有尺寸$ PQ $的组，所有大小$ p^2q $的Abelian组和所有尺寸$ P^2Q $的二面体组。
In this paper we study the problem of classification of indecomposable solutions of the Yang-Baxter equation. Using a scheme proposed by Bachiller, Cedó, and Jespers, and recent advances in the classification of braces we classify all indecomposable solutions with some particular permutation groups. We do this for all groups of size $pq$, all abelian groups of size $p^2q$ and all dihedral groups of size $p^2q$.
