{ "id": "1510.03991", "version": "v1", "published": "2015-10-14T08:11:28.000Z", "updated": "2015-10-14T08:11:28.000Z", "title": "A note on model structure of arbitrary Frobenius categories", "authors": [ "Zhi-Wei Li" ], "comment": "comments are welcome", "categories": [ "math.RT" ], "abstract": "We show that there is a model structure in the sense of Quillen on an arbitrary Frobenius category $\\F$ such that the homotopy category of this model structure is equivalent to the stable category $\\underline{\\F}$ as triangulated categories.", "revisions": [ { "version": "v1", "updated": "2015-10-14T08:11:28.000Z" } ], "analyses": { "subjects": [ "18G25", "18E30", "18G55" ], "keywords": [ "arbitrary frobenius category", "model structure", "homotopy category", "triangulated categories" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151003991L" } } }