{
  "id": "1403.4875",
  "version": "v2",
  "published": "2014-03-19T16:40:25.000Z",
  "updated": "2014-04-22T16:12:42.000Z",
  "title": "A theorem of Mœglin-Waldspurger for covering groups",
  "authors": [
    "Shiv Prakash Patel"
  ],
  "comment": "13 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $E$ be a non-Archimedian local field of characteristic zero and residue characteristic $p$. Let ${\\bf G}$ be a connected reductive group defined over $E$ and $\\pi$ an irreducible admissible representation of $G={\\bf G}(E)$. A result of C. M{\\oe}glin and J.-L. Waldspurger (for $p \\neq 2$) and S. Varma (for $p=2$) states that the leading coefficient in the character expansion of $\\pi$ at the identity element of ${\\bf G}(E)$ gives the dimension of a certain space of degenerate Whittaker forms. In this paper we generalize this result of M{\\oe}glin-Waldspurger to the setting of covering groups $\\tilde{G}$ of $G$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-22T16:12:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F70",
      "11S37"
    ],
    "keywords": [
      "covering groups",
      "mœglin-waldspurger",
      "non-archimedian local field",
      "degenerate whittaker forms",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4875P"
    }
  }
}