Connectivity properties of McKay quivers

Authors

Keywords:

McKay quivers, complex representations of finite groups, connectivity of quivers

Abstract

We present several results regarding the connectivity of McKay quivers of finite-dimensional complex representations of finite groups, with no restriction on the faithfulness or self-duality of the representations. We give examples of McKay quivers, as well as quivers that cannot arise as McKay quivers, and discuss a necessary and sufficient condition for two finite groups to share a connected McKay quiver.

Published

2021-03-10

Issue

Vol. 103 No. 2 (2021)

Section

Articles
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