McKay Correspondence over Non Algebraically Closed Fields

  title={McKay Correspondence over Non Algebraically Closed Fields},
  author={Mark Blume},
  journal={arXiv: Algebraic Geometry},
  • Mark Blume
  • Published 23 January 2006
  • Mathematics
  • arXiv: Algebraic Geometry
The classical McKay correspondence for finite subgroups G of \(\mathrm{SL}(2, \mathbb{C})\) gives a bijection between isomorphism classes of nontrivial irreducible representations of G and irreducible components of the exceptional divisor in the minimal resolution of the quotient singularity \(\mathbb{A}_{\mathbb{C}}^{2}/G\). Over non algebraically closed fields K there may exist representations irreducible over K which split over \(\overline{K}\). The same is true for irreducible components of… 


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