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Transactions of the American Mathematical Society
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0814923-X
PII: S 0002-9947(1986)0814923-X
Article copyright: © Copyright 1986 American Mathematical Society



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