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arXiv:1311.4804 [math.RT]AbstractReferencesReviewsResources

Mutation of torsion pairs in cluster categories of Dynkin type $D$

Sira Gratz

Published 2013-11-19, updated 2014-04-07Version 3

Mutation of torsion pairs in triangulated categories and its combinatorial interpretation for the cluster category of Dynkin type $A_n$ and of type $A_\infty$ have been studied by Zhou and Zhu. In this paper we present a combinatorial model for mutation of torsion pairs in the cluster category of Dynkin type $D_n$, using Ptolemy diagrams of Dynkin type $D_n$ which were introduced by Holm, J{\o}rgensen and Rubey.

Comments: Corrected typos, some arguments made more concise, results unchanged
Categories: math.RT
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