{
  "id": "1206.5592",
  "version": "v3",
  "published": "2012-06-25T07:16:00.000Z",
  "updated": "2014-12-30T17:01:59.000Z",
  "title": "On the Commuting variety of a reductive Lie algebra",
  "authors": [
    "Jean-Yves Charbonnel"
  ],
  "comment": "A proof is completed",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "The commuting variety of a reductive Lie algebra ${\\goth g}$ is the underlying variety of a well defined subscheme of $\\gg g{}$. In this note, it is proved that this scheme is normal. In particular, its ideal of definition is a prime ideal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-01T20:31:03.000Z",
      "comment": "Few corrections",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-30T17:01:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reductive lie algebra",
      "commuting variety",
      "prime ideal",
      "defined subscheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.5592C"
    }
  }
}