{
  "id": "1509.01755",
  "version": "v1",
  "published": "2015-09-06T02:05:55.000Z",
  "updated": "2015-09-06T02:05:55.000Z",
  "title": "The Euler-Poincaré paring of Harish-Chandra modules",
  "authors": [
    "Jing-Song Huang",
    "Binyong Sun"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "For real reductive groups in Harish-Chandra's class, we show that the Euler-Poincar\\'e paring of two Harish-Chandra modules is equal to the elliptic pairing of the corresponding global characters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-06T02:05:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E47"
    ],
    "keywords": [
      "harish-chandra modules",
      "real reductive groups",
      "harish-chandras class",
      "corresponding global characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150901755H"
    }
  }
}