{
  "annotation_id": "f0fc3830-561f-4c82-bde4-702f4b978926",
  "date_created": "2026-03-02T18:01:28.637000Z",
  "date_modified": "2026-03-02T18:01:28.637000Z",
  "file_hash": "67c42430218db3aa41976ede566d0975514032fc0f2229b5c0dfe5a728e9e492",
  "private": false,
  "record": {
    "abstract": "We write the fermionic $q$-Fock space representation of $U_q(\\hat{sl_n})$ as\nan infinite extended braided tensor product of finite-dimensional fermionic\n$U_q(sl_n)$-quantum planes or exterior algebras. Using braided geometrical\ntechniques developed for such quantum exterior algebras, we provide a new\napproach to the Kashiwara-Miwa-Stern action of the Heisenberg algebra on the\n$q$-fermionic Fock space, obtaining the action in detail for the lowest\nnontrivial case $[b_{2},b_{-2}]=2({1-q^{-4n}\\over 1-q^{-4}})$. Our R-matrix\napproach includes other Hecke R-matrices as well.",
    "arxiv_id": "q-alg/9512006",
    "authors": [
      "S. Majid"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Fermionic $q$-Fock Space and Braided Geometry",
    "url": "https://arxiv.org/abs/q-alg/9512006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7562b84-25c8-4952-b8bf-5348234dce3f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}