English

A note on representation-finite symmetric algebras

Representation Theory 2026-03-24 v2

Abstract

We give a characterisation of representation-finite symmetric algebras of period four, and describe their basic algebras. In particular, if such an algebra is indecomposable, it has at most two simple modules.

Keywords

Cite

@article{arxiv.2304.11877,
  title  = {A note on representation-finite symmetric algebras},
  author = {Karin Erdmann},
  journal= {arXiv preprint arXiv:2304.11877},
  year   = {2026}
}

Comments

4 pages. This is a new version, based on a result by Butler and Ringel