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math.RT2010
Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type A_n
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster category of Dynkin type A_n. Along the way we give a new combinatorial description of Ptolemy diagrams, an infinit…
math.RT2010
A Caldero-Chapoton map for infinite clusters
Peter Jorgensen, Yann Palu
We construct a Caldero-Chapoton map on a triangulated category with a cluster tilting subcategory which may have infinitely many indecomposable objects. The map is not necessarily…