Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A∞

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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  • University of Glasgow
  • Newcastle University
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Details

OriginalspracheEnglisch
Seiten (von - bis)33-56
Seitenumfang24
FachzeitschriftMathematische Zeitschrift
Jahrgang292
Ausgabenummer1-2
Frühes Online-Datum31 Juli 2018
PublikationsstatusVeröffentlicht - 1 Juni 2019

Abstract

We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A .

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Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A∞. / Gratz, S.; Holm, T.; Jørgensen, Peter.
in: Mathematische Zeitschrift, Jahrgang 292, Nr. 1-2, 01.06.2019, S. 33-56.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Gratz S, Holm T, Jørgensen P. Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A∞. Mathematische Zeitschrift. 2019 Jun 1;292(1-2):33-56. Epub 2018 Jul 31. doi: 10.1007/s00209-018-2117-y
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AU - Gratz, S.

AU - Holm, T.

AU - Jørgensen, Peter

N1 - Funding Information: 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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KW - Fountain

KW - Infinite polygon

KW - Leapfrog

KW - Ptolemy condition

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