The Auslander–Reiten components of $\mathcal{K}^b({\rm proj}\, \Lambda)$ for a cluster-tilted algebra of type Ã

DOI10.1142/S021949881550005XzbMath1329.16011arXiv1306.5933MaRDI QIDQ5498561

Kristin Krogh Arnesen, Yvonne Grimeland

Publication date: 9 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5933

zbMATH Keywords

derived categoriescluster-tilted algebrasgentle algebrasAuslander-Reiten triangles

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Chain complexes (category-theoretic aspects), dg categories (18G35) Cluster algebras (13F60)

Related Items (5)

String and band complexes over string almost gentle algebras ⋮ Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra ⋮ Irreducible morphisms between modules over a repetitive algebras ⋮ Exceptional cycles for perfect complexes over gentle algebras ⋮ Discrete derived categories. I: Homomorphisms, autoequivalences and t-structures

Cites Work

• Mutation classes of \(\widetilde A_n\)-quivers and derived equivalence classification of cluster tilted algebras of type \(\widetilde A_n\).
• The almost split triangles for perfect complexes over gentle algebras.
• Gentle algebras arising from surface triangulations.
• Tame biserial algebras
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Blocks of tame representation type and related algebras
• Indecomposables in derived categories of gentle algebras
• Combinatorial derived invariants for gentle algebras.
• Cluster-tilted algebras
• Auslander-reiten sequences with few middle terms and applications to string algebrass

This page was built for publication: The Auslander–Reiten components of $\mathcal{K}^b({\rm proj}\, \Lambda)$ for a cluster-tilted algebra of type Ã