{
  "annotation_id": "e0350def-f942-48cb-acc6-9a79e971e8d9",
  "date_created": "2026-03-02T18:01:24.910000Z",
  "date_modified": "2026-03-02T18:01:24.910000Z",
  "file_hash": "51db1ae114f8880d018926b9630c75650e2e7fe9d19e531f01ee89662ea19934",
  "private": false,
  "record": {
    "abstract": "Using the Hecke $\\hat R$-matrix, we give a definition of the lattice\n$(l,q)$-deformed $n$-component boson and Grassmann fields. Here $l$ is a\ndeformation parameter for the commutation relations of \"values\" of these fields\nin two arbitrary lattice sites and $q$ is a deformation parameter for\n$n$-component $q$-boson or $q$-Grassmann variable. In framework of the\nWess-Zumino approach to the noncommutative differential calculus the\ncommutation relations between differentials and derivatives of these fields are\ndetermined. The $SL_q(n,C)$-invariant generalization of the Berezin integration\nfor the lattice $n$-component $(l,q)$-Grassmann field is suggested. We show\nthat the Gaussian functional integral for this field is expressed through the\n$(l,q)$-deformed counterpart of the Pfaffian.",
    "arxiv_id": "q-alg/9501008",
    "authors": [
      "A. Bugrij",
      "V. Rubtsov",
      "V. Shadura"
    ],
    "categories": [
      "q-alg",
      "cond-mat",
      "hep-th",
      "math.QA"
    ],
    "journal_ref": "Hadronic J. 20 (1997) 191-211",
    "title": "Covariant Differential and Integral Calculi for Lattice (l,q)-deformed   Fields",
    "url": "https://arxiv.org/abs/q-alg/9501008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d105f42d-cfe6-4e77-a589-8ccbb3cb0f37",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}