{
  "annotation_id": "eb9740d8-2b3e-47b9-bff9-1d88dc1b16de",
  "date_created": "2026-03-02T18:01:25.409000Z",
  "date_modified": "2026-03-02T18:01:25.409000Z",
  "file_hash": "3c4bcaf191fa5d13504ab12410cf6009bdba052f651a6be36f8537b0fb58a5d6",
  "private": false,
  "record": {
    "abstract": "A decomposition of the level-one $q$-deformed Fock representations of $\\uqn$\nis given. It is found that the action of $\\upqn$ on these Fock spaces is\ncentralized by a Heisenberg algebra, which arises from the center of the affine\nHecke algebra $\\widehat{H}_N$ in the limit $N \\rightarrow \\infty$. The\n$q$-deformed Fock space is shown to be isomorphic as a\n$\\upqn$-Heisenberg-bimodule to the tensor product of a level-one irreducible\nhighest weight representation of $\\upqn$ and the Fock representation of the\nHeisenberg algebra. The isomorphism is used to decompose the $q$-wedging\noperators, which are intertwiners between the $q$-deformed Fock spaces, into\nconstituents coming from $\\upqn$ and from the Heisenberg algebra.",
    "arxiv_id": "q-alg/9508006",
    "authors": [
      "Masaki Kashiwara",
      "Tetsuji Miwa",
      "Eugene Stern"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Decomposition of $q$-deformed Fock spaces",
    "url": "https://arxiv.org/abs/q-alg/9508006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "56b7103e-eb7c-4668-8254-561579b00586",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}