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Moscow Mathematical Journal, 2006, Volume 6, Number 3, Pages 505–529
DOI: https://doi.org/10.17323/1609-4514-2006-6-3-505-529 (Mi mmj258) 		 
This article is cited in 3 scientific papers (total in 3 papers)

McKay correspondence and equivariant sheaves on $\mathbb P^1$

A. A. Kirillov (jr.)

Institute for Mathematical Sciences, Stony Brook University
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DOI: https://doi.org/10.17323/1609-4514-2006-6-3-505-529
Abstract: Let $G$ be a finite subgroup in ${\rm SU}(2)$, and $Q$ the corresponding affine Dynkin diagram. In this paper, we review the relation between the categories of $G$-equivariant sheaves on $\mathbb P^1$ and Rep $Q_h$, where $h$ is an orientation of $Q$, constructing an explicit equivalence of corresponding derived categories.
Key words and phrases: McKay correpondence, equivariant sheaves, quiver representations.
Received: April 12, 2006
Bibliographic databases:
MSC: 81R10
Language: English
Citation: A. A. Kirillov (jr.), “McKay correspondence and equivariant sheaves on $\mathbb P^1$”, Mosc. Math. J., 6:3 (2006), 505–529
Citation in format AMSBIB
\Bibitem{Kir06}
\by A.~A.~Kirillov (jr.)
\paper McKay correspondence and equivariant sheaves on $\mathbb P^1$
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 3
\pages 505--529
\mathnet{http://mi.mathnet.ru/mmj258}
\crossref{https://doi.org/10.17323/1609-4514-2006-6-3-505-529}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2274863}
\zmath{https://zbmath.org/?q=an:05184512}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595900006}
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    • This publication is cited in the following 3 articles:
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