{
  "id": "1409.2920",
  "version": "v1",
  "published": "2014-09-09T23:30:20.000Z",
  "updated": "2014-09-09T23:30:20.000Z",
  "title": "Crystal structure on rigged configurations and the filling map",
  "authors": [
    "Anne Schilling",
    "Travis Scrimshaw"
  ],
  "comment": "38 pages",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "In this paper, we extend work of the first author on a crystal structure on rigged configurations of simply-laced type to all non-exceptional affine types using the technology of virtual rigged configurations and crystals. Under the bijection between rigged configurations and tensor products of Kirillov-Reshetikhin crystals specialized to a single tensor factor, we obtain a new tableaux model for Kirillov-Reshetikhin crystals. This is related to the model in terms of Kashiwara-Nakashima tableaux via a filling map, generalizing the recently discovered filling map in type $D_n^{(1)}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-09T23:30:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "05A19",
      "05E10",
      "81R50"
    ],
    "keywords": [
      "rigged configurations",
      "filling map",
      "crystal structure",
      "kirillov-reshetikhin crystals",
      "single tensor factor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.2920S"
    }
  }
}