$n$-cluster tilting subcategories of representation-directed algebras

Laertis Vaso

doi:10.1016/j.jpaa.2018.07.010

$n$-cluster tilting subcategories of representation-directed algebras

Representation Theory 2021-05-13 v1

Authors: Laertis Vaso

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

We give a characterization of $n$ -cluster tilting subcategories of representation-directed algebras based on the $n$ -Auslander-Reiten translations. As an application we classify acyclic Nakayama algebras with homogeneous relations which admit an $n$ -cluster tilting subcategory. Finally, we classify Nakayama algebras of global dimension $d<\infty$ which admit a $d$ -cluster tilting subcategory.

Keywords

n-cluster tilting representation-directed algebras Auslander-Reiten translations Nakayama algebras acyclic algebras homogeneous relations global dimension

Cite

@article{arxiv.1705.01031,
  title  = {$n$-cluster tilting subcategories of representation-directed algebras},
  author = {Laertis Vaso},
  journal= {arXiv preprint arXiv:1705.01031},
  year   = {2021}
}

Comments

19 pages

Related papers

View all related →