English

The Gabriel-Roiter measures admitting no direct predecessors over $n$-Kronecker quivers

Representation Theory 2009-12-18 v1

Abstract

Let QQ be an nn-Kronecker quiver, i.e., a quiver with two vertices, labeled by 1 and 2, and nn arrows from 2 to 1. We show that there are infinitely many Gabriel-Roiter measures admitting no direct predecessors.

Keywords

Cite

@article{arxiv.0912.3415,
  title  = {The Gabriel-Roiter measures admitting no direct predecessors over $n$-Kronecker quivers},
  author = {Bo Chen},
  journal= {arXiv preprint arXiv:0912.3415},
  year   = {2009}
}