English

Representation-finite tensor product of simply connected algebras

Representation Theory 2024-04-30 v3

Abstract

We determine the representation-finiteness of ABA\otimes B, where both AA and BB are simply connected algebras with at least three simple modules.

Keywords

Cite

@article{arxiv.2106.06423,
  title  = {Representation-finite tensor product of simply connected algebras},
  author = {Kengo Miyamoto and Qi Wang},
  journal= {arXiv preprint arXiv:2106.06423},
  year   = {2024}
}

Comments

21pages. In this version, the title has been revised to reflect changes in the description style of the main results; two previously unsolved cases have been resolved leading to the completion of our classification; a complete list of minimal representation-infinite cases is provided