{
  "id": "0709.1286",
  "version": "v1",
  "published": "2007-09-09T22:31:14.000Z",
  "updated": "2007-09-09T22:31:14.000Z",
  "title": "Study of a Z-form of the coordinate ring of a reductive group",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "34 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We show how the theory of canonical bases in modified universal enveloping algebras can be used to develop the theory of Chevalley groups over any commutative ring with 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-09T22:31:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reductive group",
      "coordinate ring",
      "chevalley groups",
      "modified universal enveloping algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1286L"
    }
  }
}