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 self-intersections, as exceptional modules, are uniquely determined by their dimension vectors.
| Original language | English |
|---|---|
| Pages (from-to) | 3096-3119 |
| Number of pages | 24 |
| Journal | Communications in Algebra |
| Volume | 42 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2014 |
Keywords
- Exceptional modules
- Gentle algebras
- Representations