{
  "annotation_id": "608ffcfe-85ec-4cc6-b690-730ef36b8eb8",
  "date_created": "2026-03-02T18:01:24.454000Z",
  "date_modified": "2026-03-02T18:01:24.454000Z",
  "file_hash": "f2b9e7b938976d270de5a05a0c2853d7f9685e46db2f34dc287882d09a19966e",
  "private": false,
  "record": {
    "abstract": "We prove that Bethe vectors generically form a base in a tensor product of\nirreducible heighest weight $gl_2$-modules or $U_q(gl_2)$-modules. We apply\nthis result to difference equations with regular singular points. We show that\nif such an equation has local solutionss at each of its singular point, then\ngenerically it has a polynomial solution.",
    "arxiv_id": "q-alg/9504011",
    "authors": [
      "Vitaly Tarasov",
      "Alexander Varchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Bases of Bethe Vectors and Difference Equations with Regular Singular   Points",
    "url": "https://arxiv.org/abs/q-alg/9504011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6e807ebf-f66c-4008-a9c5-591bd8e1b903",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}