{ "id": "0708.2256", "version": "v4", "published": "2007-08-16T17:56:22.000Z", "updated": "2009-08-02T21:13:37.000Z", "title": "Automorphisms and isomorphisms of Chevalley groups and algebras", "authors": [ "Anton A. Klyachko" ], "comment": "8 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm . V4: minor changes in Introduction and References", "journal": "Journal of Algebra, 2010, 324:10, 2608-2619", "doi": "10.1016/j.jalgebra.2009.08.024", "categories": [ "math.GR", "math.RA", "math.RT" ], "abstract": "An adjoint Chevalley group of rank at least 2 over a rational algebra (or a similar ring), its elementary subgroup, and the corresponding Lie ring have the same automorphism group. These automorphisms are explicitly described.", "revisions": [ { "version": "v4", "updated": "2009-08-02T21:13:37.000Z" } ], "analyses": { "keywords": [ "isomorphisms", "adjoint chevalley group", "elementary subgroup", "automorphism group" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0708.2256K" } } }