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A Survey of the McKay Correspondence : 멕케이 대응에 관한 조사

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Authors

김현문

Advisor
조철현
Major
자연과학대학 수리과학부
Issue Date
2015-08
Publisher
서울대학교 대학원
Keywords
McKay correspondenceMcKay graphDynkin diagrams
Description
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2015. 8. 조철현.
Abstract
The McKay correspondence gives two constructions of simply laced Dynkin diagrams from a finite subgroup G of € SU(2)--the resolution graph of the quotient singularity of A2/G, and the McKay graph constructed from the nontrivial irreducible representations of G. We review the computation of the classical McKay correspondence for the binary dihedral group BD8, and discuss its generalizations. We also review the construction of tautological sheaves for the cyclic group as an example of a generalization to K-theory.
Language
English
URI
https://hdl.handle.net/10371/131502
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