{
  "id": "math/0512206",
  "version": "v1",
  "published": "2005-12-09T23:16:57.000Z",
  "updated": "2005-12-09T23:16:57.000Z",
  "title": "Branching rules for Hecke Algebras of Type $D_{n}$",
  "authors": [
    "Jun Hu"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "In this paper we study the branching problems for Hecke algebra $\\H(D_n)$ of type $D_n$. We explicitly describe the decompositions of the socle of the restriction of each irreducible $\\H(D_n)$-representation to $\\H(D_{n-1})$ into irreducible modules by using the corresponding results for type $B$ Hecke algebras. In particular, we show that any such restrictions are always multiplicity free.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-09T23:16:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke algebra",
      "branching rules",
      "restriction",
      "multiplicity free",
      "branching problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12206H"
    }
  }
}