English

Infinitely many algebras derived equivalent to a block

Representation Theory 2013-10-10 v1

Abstract

We give a construction that in many cases gives a simple way to construct infinite families of algebras that are not Morita equivalent, but are all derived equivalent to the same block algebra of a finite group, and apply it to some small blocks. We make some remarks relating this construction to Donovan's Conjecture and Broue's Abelian Defect Group Conjecture.

Keywords

Cite

@article{arxiv.1310.2403,
  title  = {Infinitely many algebras derived equivalent to a block},
  author = {Jeremy Rickard},
  journal= {arXiv preprint arXiv:1310.2403},
  year   = {2013}
}
R2 v1 2026-06-22T01:43:11.778Z