English

Exceptional representations of quivers

Representation Theory 2013-12-31 v1

Abstract

Let Q be a connected directed quiver with n vertices. We show that Q is representation-infinite if and only if there do exist n isomorphism classes of exceptional modules of some fixed length at least 2.

Keywords

Cite

@article{arxiv.1312.7448,
  title  = {Exceptional representations of quivers},
  author = {Claus Michael Ringel},
  journal= {arXiv preprint arXiv:1312.7448},
  year   = {2013}
}
R2 v1 2026-06-22T02:36:12.662Z