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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



McKay quivers and extended Dynkin diagrams

Authors: Maurice Auslander and Idun Reiten
Journal: Trans. Amer. Math. Soc. 293 (1986), 293-301
MSC: Primary 16A64; Secondary 20C15
MathSciNet review: 814923
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Abstract: Let $ k$ be an algebraically closed field and $ G$ a finite nontrivial group whose order is not divisible by the characteristic of $ k$. Associated with an $ m$-dimensional representation of $ G$ is the McKay quiver, whose vertices correspond to the irreducible representations of $ G$. We show that if $ m = 2$, then the underlying graph of the separated McKay quiver is a finite union of extended Dynkin diagrams.

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Article copyright: © Copyright 1986 American Mathematical Society

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