{
  "annotation_id": "b1ad59b0-3527-4373-8645-e1da8d1a7bfe",
  "date_created": "2026-03-02T18:01:28.473000Z",
  "date_modified": "2026-03-02T18:01:28.473000Z",
  "file_hash": "1f4b0bee8badf1e6df9a5c2458644f0f4da4a704075c0def6f911db9a3dd733e",
  "private": false,
  "record": {
    "abstract": "We propose a generalization of Bailey\u0027s lemma, useful for proving $q$-series\nidentities. As an application, generalizations of Euler\u0027s identity, the\nRogers-Ramanujan identities, and the Andrews-Gordon identities are derived.\nThis generalized Bailey lemma also allows one to derive identities for the\nbranching functions of higher-level $A^{(1)}_1$ cosets.",
    "arxiv_id": "q-alg/9604015",
    "authors": [
      "Anne Schilling",
      "S. Ole Warnaar"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1142/S0217979297000253",
    "journal_ref": "Int. J. Mod. Phys. B11 (1997) 189-195",
    "title": "A Higher-level Bailey Lemma",
    "url": "https://arxiv.org/abs/q-alg/9604015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9f8fd4c-3701-4843-92a2-28440308436e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}