{
  "id": "1105.1592",
  "version": "v1",
  "published": "2011-05-09T07:45:59.000Z",
  "updated": "2011-05-09T07:45:59.000Z",
  "title": "Affine slice for the coadjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra",
  "authors": [
    "Patrice Tauvel",
    "Rupert W. T. Yu"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this article, we give a simple explicit construction of an affine slice for the coadjoint action of a certain class of biparabolic (also called seaweed) subalgebras of a semisimple Lie algebra over an algebraically closed field of characteristic zero. In particular, this class includes all Borel subalgebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-09T07:45:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B08",
      "17B20",
      "17B22"
    ],
    "keywords": [
      "semisimple lie algebra",
      "coadjoint action",
      "affine slice",
      "biparabolic subalgebras",
      "simple explicit construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.1592T"
    }
  }
}