Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type \(A _{n }\)
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Publication:644684
DOI10.1007/S10801-011-0280-XzbMATH Open1229.05220arXiv1010.1184OpenAlexW2570528012MaRDI QIDQ644684
Author name not available (Why is that?)
Publication date: 7 November 2011
Published in: (Search for Journal in Brave)
Abstract: 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 infinite version of which was introduced by Ng. This allows us to count the number of torsion pairs in the cluster category of type A_n. We also count torsion pairs up to Auslander-Reiten translation.
Full work available at URL: https://arxiv.org/abs/1010.1184
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