On Indecomposable Exceptional Modules Over Gentle Algebras
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Publication:5417966
DOI10.1080/00927872.2013.781369zbMath1326.16012arXiv1209.2788OpenAlexW2084958429MaRDI QIDQ5417966
Publication date: 23 May 2014
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.2788
representationssurfacesgentle algebrasstring modulescurves without self-intersectionsindecomposable exceptional modules
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)
Related Items (3)
On indecomposable \(\tau\)-rigid modules for cluster-tilted algebras of tame type ⋮ On Extensions for Gentle Algebras ⋮ Higher extensions for gentle algebras
Cites Work
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Gentle algebras arising from surface triangulations.
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Quivers with potentials and their representations. I: Mutations.
- Tame biserial algebras
- Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
- Modules without self-extensions over gentle algebras
- The dimension vectors of indecomposable modules of cluster-tilted algebras and the Fomin-Zelevinsky denominators conjecture.
- Tilting theory and cluster combinatorics.
- Modules Over Cluster-Tilted Algebras Determined by Their Dimension Vectors
- Cluster algebras, quiver representations and triangulated categories
- Quivers with potentials associated to triangulated surfaces
- Auslander-reiten sequences with few middle terms and applications to string algebrass
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