Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903777 | Journal of Combinatorial Theory, Series A | 2018 | 23 Pages |
Abstract
In this paper, we give a complete classification of cotorsion pairs in a cluster category C of type Aââ via certain configurations of arcs, called Ï-compact Ptolemy diagrams, in an infinite strip with marked points. As applications, we classify t-structures and functorially finite rigid subcategories in C, respectively. We also deduce Liu-Paquette's classification of cluster tilting subcategories of C and Ng's classification of torsion pairs in the cluster category of type Aâ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Huimin Chang, Yu Zhou, Bin Zhu,