McKay quivers and extended Dynkin diagrams

Author:

Auslander Maurice,Reiten Idun

Abstract

Let k k be an algebraically closed field and G G a finite nontrivial group whose order is not divisible by the characteristic of k k . Associated with an m m -dimensional representation of G G is the McKay quiver, whose vertices correspond to the irreducible representations of G G . We show that if m = 2 m = 2 , then the underlying graph of the separated McKay quiver is a finite union of extended Dynkin diagrams.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

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