{
  "annotation_id": "5d3ec285-c25c-49fa-a12c-c05d6fe8f9d4",
  "date_created": "2026-02-17T05:53:04.731000Z",
  "date_modified": "2026-02-17T05:53:04.731000Z",
  "file_hash": "3f293b362102b1625b0bc01ad697f8916958495e3251ac9975f6ae11bf5cc10a",
  "private": false,
  "record": {
    "abstract": "We present a linear $q$-difference equation of rank $3$, which admits the affine Weyl group symmetry of type $E_8^{(1)}$. We further compare this equation with Moriyama-Yamada\u0027s quantum curve which has $W(E_8^{(1)})$-symmetry. The symmetry of our equation is provided by the $q$-middle convolution, defined by Sakai-Yamaguchi and reformulated by Arai-Takemura. In this paper, we provide a reconstruction of the $q$-middle convolution via a $q$-Okubo type equation.",
    "arxiv_id": "2601.06070",
    "authors": [
      "Takahiko Nobukawa"
    ],
    "categories": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A $3\\times3$ linear $q$-difference system with $E_8^{(1)}$-symmetry",
    "url": "https://arxiv.org/abs/2601.06070",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "58bcfe63-7102-4691-8b2c-255c818c691e",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}