{ "id": "2005.07915", "version": "v1", "published": "2020-05-16T09:08:30.000Z", "updated": "2020-05-16T09:08:30.000Z", "title": "Derived dimension via τ-tilting theory", "authors": [ "Yingying Zhang" ], "comment": "6 pages, comments welcome", "categories": [ "math.RT" ], "abstract": "Comparing the bounded derived categories of an algebra and of the endomorphism algebra of a given support {\\tau}-tilting module, we find a relation between the derived dimensions of an algebra and of the endomorphism algebra of a given {\\tau}-tilting module.", "revisions": [ { "version": "v1", "updated": "2020-05-16T09:08:30.000Z" } ], "analyses": { "subjects": [ "16G10", "18E30" ], "keywords": [ "derived dimension", "endomorphism algebra", "bounded derived categories" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }