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- W4289175087 abstract "In this paper, we give a complete classification of cotorsion pairs in [Formula: see text]-cluster categories of type [Formula: see text], denoted by [Formula: see text], via certain configurations of [Formula: see text]-diagonals, called Ptolemy diagrams. As applications, we classify [Formula: see text]-rigid subcategories of [Formula: see text], which gives Jacquet–Malo’s classification of [Formula: see text]-cluster tilting subcategories of [Formula: see text]. When [Formula: see text], this generalizes the work of Holm et al. [Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type [Formula: see text], J. Algebraic Combin. 34(3) (2011) 507–523] for the classification of torsion pairs in cluster categories of type [Formula: see text]." @default.
- W4289175087 created "2022-08-01" @default.
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- W4289175087 date "2022-08-30" @default.
- W4289175087 modified "2023-09-30" @default.
- W4289175087 title "Ptolemy diagrams and cotorsion pairs in <i>m</i>-cluster categories of type A" @default.
- W4289175087 doi "https://doi.org/10.1142/s0219498823502481" @default.
- W4289175087 hasPublicationYear "2022" @default.
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