Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type \(D\)

DOI10.1016/j.aam.2013.07.005zbMath1301.05021arXiv1303.1684OpenAlexW2963576174MaRDI QIDQ744167

Thorsten Holm, Peter Jørgensen, Martin Rubey

Publication date: 6 October 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1684

zbMATH Keywords

generating function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Cluster algebras (13F60)

Related Items

Torsion pairs and cosilting in type \(\tilde{A}\) ⋮ Mutation of torsion pairs in cluster categories of Dynkin type \(D\) ⋮ Cluster structures in 2-Calabi-Yau triangulated categories of Dynkin type with maximal rigid objects ⋮ Ptolemy diagrams and cotorsion pairs in m-cluster categories of type A ⋮ Torsion pairs in a triangulated category generated by a spherical object ⋮ Cotorsion pairs in cluster categories of type \(A_\infty^\infty\) ⋮ Torsion pairs in finite 2-Calabi-Yau triangulated categories with maximal rigid objects

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