{
  "annotation_id": "1502ceec-1e89-4772-b35d-e4214acd3bdf",
  "date_created": "2026-03-02T18:01:28.640000Z",
  "date_modified": "2026-03-02T18:01:28.640000Z",
  "file_hash": "cc896d51e62c94f89f942249fe83c7b0e73f9e4168d4712f23cc9d8c17768156",
  "private": false,
  "record": {
    "abstract": "We consider the quantized Knizhnik-Zamolodchikov-Bernard difference equation\n(qKZB) with step $p$ and values in a tensor product of finite dimensional\nevaluation modules over the elliptic quantum group $E_{\\tau,\\eta}(sl_2)$, the\nequation defined in terms of elliptic dynamical R-matrices. We solve the\nequation in terms of multidimensional q-hypergeometric integrals and describe\nits monodromy properties. We identify the space of solutions of the qKZ\nequation with the space of functions with values in the tensor product of the\ncorresponding modules over the elliptic quantum group $E_{p,\\eta}(sl_2)$.",
    "arxiv_id": "q-alg/9712056",
    "authors": [
      "E. Mukhin",
      "A. Varchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Solutions of the qKZB Equation in Tensor Products of finite dimensional   modules over the elliptic quantum group $E_{\\tau,\\eta}sl_2$",
    "url": "https://arxiv.org/abs/q-alg/9712056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7b508cd1-4935-4d47-b466-e3413b4661cf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}