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The McKay correspondence as an equivalence of derived categories
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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. 535554. ISSN 08940347
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Official URL: http://dx.doi.org/10.1090/S089403470100368X
Abstract
The classical McKay correspondence relates representations of a finite subgroup
G ⊂ SL(2,C) to the cohomology of the wellknown minimal resolution of the
Kleinian singularity C2/G. GonzalezSprinberg and Verdier [10] interpreted the
McKay correspondence as an isomorphism on K theory, observing that the representation
ring of G is equal to the Gequivariant 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:  08940347  
Official Date:  2001  
Dates: 


Volume:  Vol.14  
Number:  No.3  
Page Range:  pp. 535554  
Identification Number:  10.1090/S089403470100368X  
Status:  Peer Reviewed  
Access rights to Published version:  Open Access  
Funder:  International Centre for Theoretical Physics (Trieste), Engineering and Physical Sciences Research Council (EPSRC)  
References:  [1] M.F. Atiyah and F. Hirzebruch, The Riemann{Roch theorem for analytic embeddings, Topology 

URI:  http://wrap.warwick.ac.uk/id/eprint/4297 
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