On $\tau$-tilting finite simply connected algebras

Qi Wang

doi:10.21099/tkbjm/20224601001

On $\tau$-tilting finite simply connected algebras

Representation Theory 2022-10-07 v4

Authors: Qi Wang

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Abstract

We show that $\tau$ -tilting finite simply connected algebras are representation-finite. Then, some related algebras are considered, including iterated tilted algebras, tubular algebras and so on. We also prove that the $\tau$ -tilting finiteness of non-sincere algebras can be reduced to that of sincere algebras. This motivates us to give a complete list of $\tau$ -tilting finite sincere simply connected algebras.

Keywords

tau-tilting finite simply connected algebras representation-finite iterated tilted algebras tubular algebras sincere algebras

Cite

@article{arxiv.1910.01937,
  title  = {On $\tau$-tilting finite simply connected algebras},
  author = {Qi Wang},
  journal= {arXiv preprint arXiv:1910.01937},
  year   = {2022}
}

Comments

30 pages, final version, accepted by Tsukuba Journal of Mathematics

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