English

Higher Spherical Algebras

Representation Theory 2019-05-09 v1 Rings and Algebras

Abstract

We introduce and study higher spherical algebras, an exotic family of finite-dimensional algebras over an algebraically closed field. We prove that every such an algebra is derived equivalent to a higher tetrahedral algebra studied in [7], an hence that it is a tame symmetric periodic algebra of period four.

Keywords

Cite

@article{arxiv.1905.03205,
  title  = {Higher Spherical Algebras},
  author = {Karin Erdmann and Andrzej Skowronski},
  journal= {arXiv preprint arXiv:1905.03205},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-23T09:00:38.968Z