{
  "id": "1905.02382",
  "version": "v1",
  "published": "2019-05-07T06:54:12.000Z",
  "updated": "2019-05-07T06:54:12.000Z",
  "title": "A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields",
  "authors": [
    "David Kazhdan"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $F$ be a local non-archimedian field of positive characteristic, $D$ be a skew-field with center $F$ and $ G=D^{\\star}$ be the multiplicative group of $D$. The goal of this paper is to provide a canonical decomposition of any complex irreducible representation $V$ of $G$ in a direct sum of one-dimensional subspaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-07T06:54:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicative group",
      "division algebras",
      "local fields",
      "projective bases",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}