English

On indecomposable exceptional modules over gentle algebras

Representation Theory 2012-09-20 v2

Abstract

We give a characterization of indecomposable exceptional modules over finite dimensional gentle algebras. As an application, we study gentle algebras arising from an unpunctured surface and show that a class of indecomposable modules related to curves without selfintersections, as exceptional modules, are uniquely determined by their dimension vectors.

Keywords

Cite

@article{arxiv.1209.2788,
  title  = {On indecomposable exceptional modules over gentle algebras},
  author = {Jie Zhang},
  journal= {arXiv preprint arXiv:1209.2788},
  year   = {2012}
}

Comments

24 pages, a conjecture which has been found wrong deleted, references and citations added

R2 v1 2026-06-21T22:04:11.086Z