Bridgeland, Tom, King, Alastair and Reid, Miles (Miles A.). (2001) The McKay correspondence as an equivalence of derived categories. American Mathematical Society. Journal, Vol.14 (No.3). pp. 535-554. ISSN 0894-0347

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Abstract

The classical McKay correspondence relates representations of a finite subgroup G ⊂ SL(2,C) to the cohomology of the well-known minimal resolution of the Kleinian singularity C2/G. Gonzalez-Sprinberg and Verdier [10] interpreted the McKay correspondence as an isomorphism on K theory, observing that the representation ring of G is equal to the G-equivariant K theory of C2. More precisely, they identify a basis of the K theory of the resolution consisting of the classes of certain tautological sheaves associated to the irreducible representations of G.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Dynkin diagrams, Kleinian groups, Point set theory
Journal or Publication Title:	American Mathematical Society. Journal
Publisher:	American Mathematical Society
ISSN:	0894-0347
Date:	2001
Volume:	Vol.14
Number:	No.3
Page Range:	pp. 535-554
Identification Number:	10.1090/S0894-0347-01-00368-X
Status:	Peer Reviewed
Access rights to Published version:	Open Access
Funder:	International Centre for Theoretical Physics (Trieste), Engineering and Physical Sciences Research Council (EPSRC)
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URI:	http://wrap.warwick.ac.uk/id/eprint/4297

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