{
  "annotation_id": "f04e6021-bd10-4e03-9328-e52069945745",
  "date_created": "2026-03-02T18:01:27.553000Z",
  "date_modified": "2026-03-02T18:01:27.553000Z",
  "file_hash": "3d4350ecf4d69b1db0719aae4b58ffe49b86459568b4dbe87bdc22693545ac32",
  "private": false,
  "record": {
    "abstract": "The method of graded contractions, based on the preservation of the\nautomorphisms of finite order, is applied to the affine Kac-Moody algebras and\ntheir representations, to yield a new class of infinite dimensional Lie\nalgebras and representations. After the introduction of the horizontal and\nvertical gradings, and the algorithm to find the horizontal toroidal gradings,\nI discuss some general properties of the graded contractions, and compare them\nwith the In\\\"on\\\"u-Wigner contractions. The example of $\\hat A_2$ is discussed\nin detail.",
    "arxiv_id": "q-alg/9512020",
    "authors": [
      "Marc de Montigny"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/14/025",
    "title": "Graded Contractions of Affine Kac-Moody Algebras",
    "url": "https://arxiv.org/abs/q-alg/9512020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fa304217-3473-4a06-834b-fe5238b257c6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}