English

Brauer graph algebras are closed under derived equivalence

Representation Theory 2021-11-30 v3

Abstract

In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use the rank of the maximal torus of the identity component Out0(A)Out^0(A) of the group of outer automorphisms of a symmetric stably biserial algebra AA.

Keywords

Cite

@article{arxiv.1908.09645,
  title  = {Brauer graph algebras are closed under derived equivalence},
  author = {Mikhail Antipov and Alexandra Zvonareva},
  journal= {arXiv preprint arXiv:1908.09645},
  year   = {2021}
}
R2 v1 2026-06-23T10:56:50.646Z