English

A note on resolution quivers

Representation Theory 2012-11-27 v1

Abstract

Recently, Ringel introduced the resolution quiver for a connected Nakayama algebra. It is known that each connected component of the resolution quiver has a unique cycle. We prove that all cycles in the resolution quiver are of the same size. We introduce the notion of weight for a cycle in the resolution quiver. It turns out that all cycles have the same weight.

Cite

@article{arxiv.1211.5831,
  title  = {A note on resolution quivers},
  author = {Dawei Shen},
  journal= {arXiv preprint arXiv:1211.5831},
  year   = {2012}
}
R2 v1 2026-06-21T22:43:51.359Z