{ "id": "1311.0820", "version": "v1", "published": "2013-11-04T19:32:07.000Z", "updated": "2013-11-04T19:32:07.000Z", "title": "Polynomial representations of GL(n) and Schur-Weyl duality", "authors": [ "Henning Krause" ], "comment": "4 pages", "categories": [ "math.RT", "math.RA" ], "abstract": "Polynomial representations of general linear groups and modules over Schur algebras are compared. We work over an arbitrary commutative ring and show that Schur-Weyl duality is the key for an equivalence between both categories.", "revisions": [ { "version": "v1", "updated": "2013-11-04T19:32:07.000Z" } ], "analyses": { "keywords": [ "polynomial representations", "schur-weyl duality", "general linear groups", "schur algebras", "categories" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.0820K" } } }