{ "id": "1707.01646", "version": "v1", "published": "2017-07-06T06:07:24.000Z", "updated": "2017-07-06T06:07:24.000Z", "title": "Auslander's defect formula and a commutative triangle in an exact category", "authors": [ "Pengjie Jiao" ], "comment": "7 pages", "categories": [ "math.RT" ], "abstract": "We prove the Auslander's defect formula in an exact category, and obtain a commutative triangle involving the Auslander bijections and the generalized Auslander-Reiten duality.", "revisions": [ { "version": "v1", "updated": "2017-07-06T06:07:24.000Z" } ], "analyses": { "subjects": [ "16G70", "18E10" ], "keywords": [ "auslanders defect formula", "exact category", "commutative triangle", "auslander bijections" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }