McKay correspondence and equivariant sheaves on $P^1$

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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.
24 pages, 3 figures

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Algebraic Geometry, Category Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/110198

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603359
 http://arxiv.org/abs/math/0603359

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arXiv