{ "id": "1103.4580", "version": "v4", "published": "2011-03-23T17:38:47.000Z", "updated": "2013-02-18T14:31:08.000Z", "title": "Ringel duality and derivatives of non-additive functors", "authors": [ "Antoine Touzé" ], "comment": "Fourth version, 48 pages. Minor changes (typos corrected, comments and references added). The article is self-contained (no prior knowledge of Schur algebras, strict polynomial functors or derived functors of non-additive functors is required)", "categories": [ "math.RT", "math.AT" ], "abstract": "We prove that Ringel duality in the category of strict polynomial functors can be interpreted as derived functors of non-additive functors (in the sense of Dold and Puppe). We give applications of this fact for both theories.", "revisions": [ { "version": "v4", "updated": "2013-02-18T14:31:08.000Z" } ], "analyses": { "subjects": [ "18G55", "20G05", "20G10" ], "keywords": [ "ringel duality", "non-additive functors", "derivatives", "strict polynomial functors" ], "note": { "typesetting": "TeX", "pages": 48, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1103.4580T" } } }