English

Connectivity Properties of McKay Quivers

Representation Theory 2021-07-01 v1

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.

Keywords

Cite

@article{arxiv.2003.09502,
  title  = {Connectivity Properties of McKay Quivers},
  author = {Hazel Browne},
  journal= {arXiv preprint arXiv:2003.09502},
  year   = {2021}
}

Comments

14 pages

R2 v1 2026-06-23T14:22:04.857Z