{
  "annotation_id": "245c70e1-1e6f-4789-bddf-596f8df49ac8",
  "date_created": "2026-03-02T18:01:28.824000Z",
  "date_modified": "2026-03-02T18:01:28.824000Z",
  "file_hash": "2319fbd2098cc9bea173c4183ffb364f26e2f7f8fd06e22ae9a77e6fd1c87b98",
  "private": false,
  "record": {
    "abstract": "We define an action of the symmetric group on the set of domino tableaux, and\nprove that the number of domino tableaux of a given weight does not depend on\nthe permutation of components of the last. A bijective proof of the well-known\nresult due to J. Stembridge that the number of self-evacuating tableaux of a\ngiven shape is equal to that of domino tableaux of the same shape is given.",
    "arxiv_id": "q-alg/9709010",
    "authors": [
      "Arkady Berenstein",
      "Anatol N. Kirillov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Domino tableaux, Schutzenberger involution, and the symmetric group   action",
    "url": "https://arxiv.org/abs/q-alg/9709010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d289b5ef-aa63-4cd1-ae3b-df90a1fad86e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}