{
  "id": "1104.0907",
  "version": "v1",
  "published": "2011-04-05T18:14:10.000Z",
  "updated": "2011-04-05T18:14:10.000Z",
  "title": "Weyl group action and semicanonical bases",
  "authors": [
    "Pierre Baumann"
  ],
  "journal": "Advances in Mathematics 228 (2011), pp. 2874-2890",
  "doi": "10.1016/j.aim.2011.07.021",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let U be the enveloping algebra of a symmetric Kac-Moody algebra. The Weyl group acts on U, up to a sign. In addition, the positive subalgebra U^+ contains a so-called semicanonical basis, with remarkable properties. The aim of this paper is to show that these two structures are as compatible as possible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-05T18:14:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "05E10",
      "16G20"
    ],
    "keywords": [
      "weyl group action",
      "semicanonical bases",
      "weyl group acts",
      "symmetric kac-moody algebra",
      "enveloping algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.0907B"
    }
  }
}