{
  "annotation_id": "212d5b13-4121-4f13-8bf4-49c26f3ca8b9",
  "date_created": "2026-03-02T18:01:28.290000Z",
  "date_modified": "2026-03-02T18:01:28.290000Z",
  "file_hash": "aeb5ca5a853bbee734a2007596ab09bae14d259940a4d4a31399b48ac9711859",
  "private": false,
  "record": {
    "abstract": "On the level-1 Fock space modules of the algebra $U_q(\\hat{sl_n})$ we define\na level-0 action $U_0$ of the $U_q(\\hat{sl_n})$, and an action of an abelian\nalgebra of conserved Hamiltonians commuting with the $U_0$. An irreducible\ndecomposition of the Fock space with respect to the level-0 action is derived\nby constructing a base of the Fock space in terms of the Non-symmetric\nMacdonald Polynomials.",
    "arxiv_id": "q-alg/9607031",
    "authors": [
      "Kouichi Takemura",
      "Denis Uglov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Level-0 action of U_q(\\hat{sl_n}) on the q-deformed Fock spaces",
    "url": "https://arxiv.org/abs/q-alg/9607031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "542a6962-01b9-4220-9fe9-cccc2c5710bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}