{
  "id": "math/0604333",
  "version": "v1",
  "published": "2006-04-14T10:09:33.000Z",
  "updated": "2006-04-14T10:09:33.000Z",
  "title": "Combinatorics of $A_2$-crystals",
  "authors": [
    "V. I. Danilov",
    "A. V. Karzanov",
    "G. A. Koshevoy"
  ],
  "comment": "21 pages, 7 fugures, 8 bibl",
  "journal": "J. of Algebra, 310, 2007, 218-234",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We show that a connected regular $A_2$-crystal (the crystal graph of an irreducible representation of $sl_3$) can be produced from two half-grids by replicating them and glying together in a certain way. Also some extensions and related aspects are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-14T10:09:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "05C75",
      "05E99"
    ],
    "keywords": [
      "combinatorics",
      "crystal graph",
      "connected regular"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4333D"
    }
  }
}