Generalized McKay quivers of rank three
The McKay correspondence describes connections among finite subgroups \(G\) of \(\mathrm{SL}_2(\mathbb{C})\), classical Lie groups of simply-laced type, and resolutions of singularities of \(\mathbb{C}^2/G\). There have been several attempts to generalize this correspondence to \(\mathrm{SL}_n(\mathbb{C})\). In the paper under review, the notions of the generalized McKay quiver and the generalized Cartan matrix are considered. Some properties of the generalized Cartan matrices are studied. The complete list of generalized McKay quivers for \(\mathrm{SL}_3(\mathbb{C})\) is given.
scientific article; zbMATH DE number 6188468
scientific article