English

Generic representations of wild quivers

Representation Theory 2013-07-23 v1

Abstract

We show that any generic representation of a wild connected directed quiver is the union of its subrepresentations of finite length which are regular. As a consequence, we see that the direct limit closure of the preprojective component does not contain any generic module.

Cite

@article{arxiv.1307.5400,
  title  = {Generic representations of wild quivers},
  author = {Claus Michael Ringel},
  journal= {arXiv preprint arXiv:1307.5400},
  year   = {2013}
}
R2 v1 2026-06-22T00:54:43.802Z