{
  "id": "1105.5921",
  "version": "v2",
  "published": "2011-05-30T10:06:06.000Z",
  "updated": "2011-06-03T09:33:57.000Z",
  "title": "On related varieties to the commuting variety of a semisimple Lie algebra",
  "authors": [
    "Mouchira Zaiter"
  ],
  "comment": "29 pages. Reference added",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is the set of (x,y) in g x g such that x and y are nilpotents and are in the same Borel sualgebra. The main result of this paper is that N is a closed and irreducible subvariety of g x g, its normalisation has rational singularities and its normalization morphism is bijective.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-03T09:33:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semisimple lie algebra",
      "commuting variety",
      "related varieties",
      "finite dimension",
      "borel sualgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.5921Z"
    }
  }
}