Abstract
We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type \(A_{ \infty }\).
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Acknowledgements
We thank Charles Paquette, Adam-Christiaan van Roosmalen, and Bin Zhu for illuminating comments on a preliminary version, and the referee for a careful reading and several useful suggestions which have improved the presentation. This project was supported by grant HO 1880/5-1 under the research priority programme SPP 1388 “Darstellungstheorie” of the DFG, and by grant EP/P016014/1 “Higher Dimensional Homological Algebra” from the EPSRC.
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Gratz, S., Holm, T. & Jørgensen, P. Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type \(A_{ \infty }\). Math. Z. 292, 33–56 (2019). https://doi.org/10.1007/s00209-018-2117-y
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DOI: https://doi.org/10.1007/s00209-018-2117-y