{
  "id": "math/0504145",
  "version": "v2",
  "published": "2005-04-07T15:28:03.000Z",
  "updated": "2005-05-08T17:38:37.000Z",
  "title": "(Ir)Reducibility of some commuting varieties associated with involutions",
  "authors": [
    "Oksana Yakimova"
  ],
  "comment": "New examples of reducible commuting varieties are added",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "Here we prove that a commuting variety associated with a symmetric pair (g, g_0) is irreducible for (so_{n+m}, so_n + so_m) and reducible for (gl_{n+m}, {gl}_n + gl_m) with n>m, (so_{2n}, gl_n) with odd n, (E_6, {so}_{10} + k).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-05-08T17:38:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commuting varieties",
      "commuting variety",
      "involutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4145Y"
    }
  }
}