{
  "id": "1507.05419",
  "version": "v1",
  "published": "2015-07-20T08:58:58.000Z",
  "updated": "2015-07-20T08:58:58.000Z",
  "title": "On a variety related to the commuting variety of a reductive Lie algebra",
  "authors": [
    "Jean-Yves Charbonnel"
  ],
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "For a reductive Lie algbera over an algbraically closed field of charasteristic zero,we consider a borel subgroup $B$ of its adjoint group, a Cartan subalgebra contained inthe Lie algebra of $B$ and the closure $X$ of its orbit under $B$ in the Grassmannian.The variety $X$ plays an important role in the study of the commuting variety. In thisnote, we prove that $X$ is Gorenstein with rational singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-20T08:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reductive lie algebra",
      "commuting variety",
      "cartan subalgebra contained inthe lie",
      "subalgebra contained inthe lie algebra",
      "reductive lie algbera"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150705419C"
    }
  }
}