{
  "id": "1703.03110",
  "version": "v1",
  "published": "2017-03-09T02:47:22.000Z",
  "updated": "2017-03-09T02:47:22.000Z",
  "title": "On extensions of characters of affine pro-$p$ Iwahori--Hecke algebra",
  "authors": [
    "Santosh Nadimpalli"
  ],
  "comment": "Preliminary version, I will be thankful for comments and suggestions",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $K$ be a non-discrete non-Archimedean local field with residue characteristic $p$. Let $G$ be the group of $K$ rational points of a algebraic connected reductive group defined over $K$. In this article we compute the extensions between characters of affine pro-$p$ Iwahori--Hecke algebra $\\mathcal{H}^{\\text{aff}}$ over an algebraically closed field $R$ of characteristic $p$. In rank one case we deduce the relation between the blocks and $L$-packets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-09T02:47:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "iwahori-hecke algebra",
      "extensions",
      "characters",
      "non-discrete non-archimedean local field",
      "algebraic connected reductive group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}