Finite subgroups of SU₂, Dynkin diagrams and affine Coxeter elements

Robert Steinberg

Vol. 118 (1985), No. 2, 587–598

DOI: 10.2140/pjm.1985.118.587

Abstract

Using, among other things, some properties of affine Coxeter elements, for which we also present normal forms, we offer an explanation of the McKay correspondence, which associates to each finite subgroup of SU₂ an affine Dynkin diagram.

Mathematical Subject Classification 2000

Primary: 20C30

Secondary: 14B05

Milestones

Received: 29 October 1984

Published: 1 June 1985