论文标题
McKay通信的直接证明和$ \ operatotorname {so}(4)$的有限子组的表示形式
Direct proof of Mckay Correspondence and the representations of finite subgroups of $\operatorname{SO}(4)$
论文作者
论文摘要
经典的McKay对应关系在$ \ operatorname {su}(2)$的有限亚组和简单的Dynkin图之间提供了联系。在本文中,提出了直接的证明。引入了McKay图的两分结构。之后,类似的方法可以在$ \ operatorname {so}(4)$的有限亚组上使用,我们得到了一个边彩色图。我们终于获得了一些应用程序。
The classic Mckay correspondence gives a connection between finite subgroups of $\operatorname{SU}(2)$ and the simply-laced Dynkin diagrams. In this article, a direct proof is presented. The bipartite structure of the Mckay diagrams is introduced. After that, the similar method can be used on finite subgroups of $\operatorname{SO}(4)$, we get a edges-coloured graph. We finally get some applications.