{
  "id": "1707.04707",
  "version": "v1",
  "published": "2017-07-15T08:30:43.000Z",
  "updated": "2017-07-15T08:30:43.000Z",
  "title": "Erratum and Addendum to: Invariant Differential Operators and Eigenspace Representations on an Affine Symmetric Space",
  "authors": [
    "Jing-Song Huang"
  ],
  "comment": "This is the original note that was submitted to the Annals of Mathematics on August 19, 2015",
  "categories": [
    "math.RT"
  ],
  "abstract": "The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof of existence $\\lambda(\\xi)$ in (7.1) without Proposition 7.2; 3. Definition of a new bijection in Theorem 5.2 and a proof by a new technique; 4. A new proof of Theorem 5.5 based on the new bijection in Theorem 5.2; 5. Correction to the list of exceptional simple pairs in Proposition 3.1. The main results of [1] remain true as stated. We also add a final remark on generalization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-15T08:30:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant differential operators",
      "affine symmetric space",
      "eigenspace representations",
      "exceptional simple pairs",
      "proposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}