{ "id": "1310.2403", "version": "v1", "published": "2013-10-09T09:12:10.000Z", "updated": "2013-10-09T09:12:10.000Z", "title": "Infinitely many algebras derived equivalent to a block", "authors": [ "Jeremy Rickard" ], "categories": [ "math.RT" ], "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.", "revisions": [ { "version": "v1", "updated": "2013-10-09T09:12:10.000Z" } ], "analyses": { "keywords": [ "algebras derived equivalent", "broues abelian defect group conjecture", "construct infinite families", "morita equivalent", "block algebra" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.2403R" } } }