{
  "id": "2304.07657",
  "version": "v1",
  "published": "2023-04-15T23:44:05.000Z",
  "updated": "2023-04-15T23:44:05.000Z",
  "title": "Identities for vacillating tableaux via growth diagrams",
  "authors": [
    "Christian Krattenthaler"
  ],
  "comment": "AmS-TeX; 24 pages. arXiv admin note: text overlap with arXiv:1412.5646",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give bijective proofs using Fomin's growth diagrams for identities involving numbers of vacillating tableaux that arose in the representation theory of partition algebras or are inspired by such identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-15T23:44:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A17",
      "05A19",
      "05E10"
    ],
    "keywords": [
      "vacillating tableaux",
      "identities",
      "fomins growth diagrams",
      "representation theory"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}