{ "id": "1604.00524", "version": "v1", "published": "2016-04-02T16:38:15.000Z", "updated": "2016-04-02T16:38:15.000Z", "title": "Colocalising subcategories of modules over finite group schemes", "authors": [ "Dave Benson", "Srikanth B. Iyengar", "Henning Krause", "Julia Pevtsova" ], "comment": "18 pages", "categories": [ "math.RT" ], "abstract": "The Hom closed colocalising subcategories of the stable module category of a finite group scheme are classified. This complements the classification of the tensor closed localising subcategories in our previous work. Both classifications involve pi-points in the sense of Friedlander and Pevtsova. We identify for each pi-point an endofinite module which both generates the corresponding minimal localising subcategory and cogenerates the corresponding minimal colocalising subcategory.", "revisions": [ { "version": "v1", "updated": "2016-04-02T16:38:15.000Z" } ], "analyses": { "subjects": [ "16G10", "18E30", "20C20", "20G10", "20J06" ], "keywords": [ "finite group scheme", "corresponding minimal colocalising subcategory", "classification", "tensor closed localising subcategories", "hom closed colocalising subcategories" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160400524B" } } }