{ "id": "0904.2483", "version": "v1", "published": "2009-04-16T15:31:29.000Z", "updated": "2009-04-16T15:31:29.000Z", "title": "Generalized exponents of small representations. I", "authors": [ "Bogdan Ion" ], "comment": "30 pg", "categories": [ "math.RT", "math.CO" ], "abstract": "This is the first paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. The main part of this paper illustrates the overall structure of the argument on root systems of type A and discusses the relationship with the Lascoux-Schutzenberger charge formula.", "revisions": [ { "version": "v1", "updated": "2009-04-16T15:31:29.000Z" } ], "analyses": { "subjects": [ "17B10" ], "keywords": [ "small representations", "generalized exponents", "lascoux-schutzenberger charge formula", "first paper", "root systems" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0904.2483I" } } }