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McKay correspondence and equivariant sheaves on $P^1$

Alexander Kirillov Jr
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Abstract

Let $G$ be a finite subgroup in SU(2), and $Q$ the corresponding affine Dynkin diagram. In this paper, we review the relation between the categories of $G$-equivariant sheaves on $P^1$ and $Rep Q_h$, where $h$ is an orientation of $Q$, constructing an explicit equivalence of corresponding derived categories.

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Alexander Kirillov Jr. 2006-03-14. McKay correspondence and equivariant sheaves on $P^1$. https://arxiv.org/abs/math/0603359

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