{
  "id": "1510.02553",
  "version": "v1",
  "published": "2015-10-09T02:58:43.000Z",
  "updated": "2015-10-09T02:58:43.000Z",
  "title": "Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms",
  "authors": [
    "Mahdi Asgari",
    "Kwangho Choiy"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We establish the local Langlands conjecture for small rank general spin groups $GSpin_4$ and $GSpin_6$ as well as their inner forms. We construct appropriate $L$-packets and prove that these $L$-packets satisfy the properties expected of them to the extent that the corresponding local factors are available. We are also able to determine the exact sizes of the $L$-packets in many cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-09T02:58:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F27",
      "11S37",
      "20G25",
      "22E35"
    ],
    "keywords": [
      "local langlands conjecture",
      "inner forms",
      "small rank general spin groups",
      "construct appropriate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002553A"
    }
  }
}