{
  "id": "1511.07618",
  "version": "v1",
  "published": "2015-11-24T09:23:52.000Z",
  "updated": "2015-11-24T09:23:52.000Z",
  "title": "Dirac cohomology, elliptic representations and endoscopy",
  "authors": [
    "Jing-Song Huang"
  ],
  "comment": "This paper will appear in `Representations of Reductive Groups, in Honor of 60th Birthday of David Vogan', edited by M. Nervins and P. Trapa, published by Springer",
  "categories": [
    "math.RT"
  ],
  "abstract": "The first part (Sections 1-6) of this paper is a survey of some of the recent developments in the theory of Dirac cohomology, especially the relationship of Dirac cohomology with (g,K)-cohomology and nilpotent Lie algebra cohomology; the second part (Sections 7-12) is devoted to understanding the unitary elliptic representations and endoscopic transfer by using the techniques in Dirac cohomology. A few problems and conjectures are proposed for further investigations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-24T09:23:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac cohomology",
      "nilpotent lie algebra cohomology",
      "unitary elliptic representations",
      "first part",
      "second part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151107618H"
    }
  }
}