English

$\tau$-Tilting Finite Cluster-Tilted Algebras

Representation Theory 2020-08-04 v2

Abstract

Let B be a cluster-tilted algebra. We prove that B is τ\tau-tilting finite if and only if B is representation-finite.

Keywords

Cite

@article{arxiv.1902.05866,
  title  = {$\tau$-Tilting Finite Cluster-Tilted Algebras},
  author = {Stephen Zito},
  journal= {arXiv preprint arXiv:1902.05866},
  year   = {2020}
}

Comments

9 pages. Removed the proof concerning tilted algebras. The proof is still contained in v1. Corrected the proof concerning cluster-tilted algebras