{
  "id": "math/0107106",
  "version": "v4",
  "published": "2001-07-13T17:38:28.000Z",
  "updated": "2001-08-31T16:19:31.000Z",
  "title": "Kirillov theory, Treves strata, Schrodinger equations and analytic hypoellipticity of sums of squares",
  "authors": [
    "Sagun Chanillo"
  ],
  "comment": "34 pages, typos corrected",
  "categories": [
    "math.AP",
    "math.RT"
  ],
  "abstract": "We attach representations to non-symplectic stratum in the characteristic set of real vector fields. This leads to Schrodinger operators. The analysis of the solutions of these Schrodinger equations allows us to construct smooth, non-analytic solutions of the sub-elliptic operator formed by taking sums of squares of the real vector fields.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2001-08-31T16:19:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrodinger equations",
      "analytic hypoellipticity",
      "treves strata",
      "kirillov theory",
      "real vector fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7106C"
    }
  }
}