{
  "id": "1407.0668",
  "version": "v1",
  "published": "2014-07-02T18:11:40.000Z",
  "updated": "2014-07-02T18:11:40.000Z",
  "title": "KLR algebras and the branching rule II: the categorical Gelfand-Tsetlin basis for the classical Lie algebras",
  "authors": [
    "Pedro Vaz"
  ],
  "comment": "30 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We construct functors categorifying the branching rules for $U_q(\\mathfrak{g})$ for $\\mathfrak{g}$ of type $B_n$, $C_n$, and $D_n$ for the embeddings $so_{2n+1}\\supset so_{2n-1}$, $sp_{2n}\\supset sp_{2n-2}$, and $so_{2n}\\supset so_{2n-2}$. We give the corresponding categorical Gelfand-Tsetlin basis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-02T18:11:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical lie algebras",
      "branching rule",
      "klr algebras",
      "corresponding categorical gelfand-tsetlin basis",
      "construct functors categorifying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.0668V"
    }
  }
}