{ "id": "1407.5346", "version": "v2", "published": "2014-07-20T22:26:21.000Z", "updated": "2014-08-17T16:40:35.000Z", "title": "On the character of certain modular irreducible representations", "authors": [ "G. Lusztig" ], "comment": "6 pages", "categories": [ "math.RT" ], "abstract": "Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p>0. In this paper we restate our conjecture from 1979 on the characters of irreducible modular representations of G so that it is now directly applicable to any dominant highest weight.", "revisions": [ { "version": "v2", "updated": "2014-08-17T16:40:35.000Z" } ], "analyses": { "keywords": [ "modular irreducible representations", "dominant highest weight", "simply connected algebraic group", "irreducible modular representations", "closed field" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.5346L" } } }