Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$

Peter Jorgensen; Sira Gratz; Thorsten Holm

Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$

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arxiv 1711.07528 v2 pith:3L6F77LD submitted 2017-11-20 math.RT

Sira Gratz , Thorsten Holm , Peter Jorgensen This is my paper · ORCID

classification math.RT

keywords clustercategoriesdynkinigusa--todorovinftypairssubcategoriestilting

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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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Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory
math.RT 2025-08 unverdicted novelty 7.0 of 10

The paper constructs infinite discrete Nakayama representations via persistence theory and stabilizes them into negative Calabi-Yau versions of Igusa-Todorov discrete cluster categories of type A, with geometric model...

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