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math.RT2013
Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type D
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster category of Dynkin type D_n, via a bijection to new combinatorial objects called Ptolemy diagrams of type D. For t…
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…