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arXiv · 2002.02378

Direct proof of Mckay Correspondence and the representations of finite subgroups of $\operatorname{SO}(4)$

Rui Xiong
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Abstract

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.

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BibTeXRIS

Rui Xiong. 2020-01-31. Direct proof of Mckay Correspondence and the representations of finite subgroups of $\operatorname{SO}(4)$. https://arxiv.org/abs/2002.02378

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