Article ID Journal Published Year Pages File Type
8903777 Journal of Combinatorial Theory, Series A 2018 23 Pages PDF
Abstract
In this paper, we give a complete classification of cotorsion pairs in a cluster category C of type A∞∞ via certain configurations of arcs, called τ-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 A∞.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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