McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$
Published: Jul 31, 2025
Last Updated: Jul 31, 2025
Authors:José Luis Cisneros-Molina, Meral Tosun
Abstract
We explicitly compute the McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$ relative to the natural representation, using character theory and the McKay quivers of finite subgroups of $SU(2)$. We present examples that shows the rich symmetry and combinatorial structure of these quivers. We compare our results with the MacKay quivers computed by Auslander and Reiten.