{
  "id": "2012.08783",
  "version": "v1",
  "published": "2020-12-16T08:01:59.000Z",
  "updated": "2020-12-16T08:01:59.000Z",
  "title": "Dirac cohomology and character lifting",
  "authors": [
    "Jing-Song Huang"
  ],
  "comment": "To appear in Acta Math Sinica. arXiv admin note: substantial text overlap with arXiv:1511.07618",
  "categories": [
    "math.RT"
  ],
  "abstract": "The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules, or Dirac index of the trivial representation. The lifting of tempered characters in terms of index of Dirac cohomology is calculated explicitly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-16T08:01:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac cohomology",
      "character lifting",
      "endoscopic transfer factor",
      "trivial representation",
      "odd parts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}