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

2017/11/20 by Gratz, Sira, Holm, Thorsten, Jorgensen, Peter · 2 citations
#13F60 #18E30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1711.07528

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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• Triangulated Categories Admitting Linear Generators
• Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

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