{
  "annotation_id": "cc735681-c737-4107-b0a3-f4204089fa23",
  "date_created": "2026-03-02T18:01:28.604000Z",
  "date_modified": "2026-03-02T18:01:28.604000Z",
  "file_hash": "ff0834e5a83c0c18b6bae46bcb2eff424a7c83934ca4bfb37593325b3b4a4a04",
  "private": false,
  "record": {
    "abstract": "In this proceedings a particular example from \\cite{KMPY} (q-alg/9603025) is\npresented: the construction of the level 2 Fock space of $\\U_q(\\affsl{2})$. The\ngenerating ideal of the wedge relations is given and the wedge space defined.\nNormal ordering of wedges is defined in terms of the energy function. Normally\nordered wedges form a base of the wedge space.\n  The q-deformed Fock space is defined as the space of semi-infinite wedges\nwith a finite number of vectors in the wedge product differing from a ground\nstate sequence, and endowed with a separated q-adic topology . Normally ordered\nwedges form a base of the Fock space. The action of $\\U_q(\\affsl{2})$ on the\nFock space converges in the q-adic topology. On the Fock space the action of\nbosons, which commute with the $\\U_q(\\affsl{2})$-action, also converges in the\nq-adic topology. Hence follows the decomposition of the Fock space into\nirreducible $\\U_q(\\affsl{2})$-modules.",
    "arxiv_id": "q-alg/9701040",
    "authors": [
      "Jens-Ulrik Holger Petersen"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Semi-infinite $q$-wedge construction of the level 2 Fock Space of   $U_q(\\affsl{2})$",
    "url": "https://arxiv.org/abs/q-alg/9701040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a588d80b-906b-46c2-a218-5fb437583827",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}