{ "id": "0705.1348", "version": "v1", "published": "2007-05-09T19:38:30.000Z", "updated": "2007-05-09T19:38:30.000Z", "title": "Semisimple Algebraic Groups in Characteristic Zero", "authors": [ "J. S. Milne" ], "categories": [ "math.RT", "math.AG" ], "abstract": "It is shown that the classification theorems for semisimple algebraic groups in characteristic zero can be derived quite simply and naturally from the corresponding theorems for Lie algebras by using a little of the theory of tensor categories. This article is extracted from Milne 2007.", "revisions": [ { "version": "v1", "updated": "2007-05-09T19:38:30.000Z" } ], "analyses": { "subjects": [ "20G15", "14L17" ], "keywords": [ "semisimple algebraic groups", "characteristic zero", "classification theorems", "lie algebras", "tensor categories" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0705.1348M" } } }