McKay quivers and extended Dynkin diagrams
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- by Maurice Auslander and Idun Reiten PDF
- Trans. Amer. Math. Soc. 293 (1986), 293-301 Request permission
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.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 293 (1986), 293-301
- MSC: Primary 16A64; Secondary 20C15
- DOI: https://doi.org/10.1090/S0002-9947-1986-0814923-X
- MathSciNet review: 814923