{
  "annotation_id": "e5c27584-26dd-40d0-9fb3-ef8e9eb00bac",
  "date_created": "2026-03-02T18:01:27.860000Z",
  "date_modified": "2026-03-02T18:01:27.860000Z",
  "file_hash": "c39e2ae03b393bb0cb726f0441f0ebce025bff7bbbcd83bfed7eb5e3b1dd72ef",
  "private": false,
  "record": {
    "abstract": "The structure of the centres ${\\cal Z}(\\Lg)$ and ${\\cal Z}(\\Mg)$ of the graph\nalgebra ${\\cal L}_g(sl_2)$ and the moduli algebra ${\\cal M}_g(sl_2)$ is studied\nat roots of 1. It it shown that ${\\cal Z}(\\Lg)$ can be endowed with the\nstructure of the Poisson graph algebra. The elements of $Spec({\\cal Z}(\\Mg))$\nare shown to satisfy the defining relation for the holonomies of a flat\nconnection along the cycles of a Riemann surface. The irreducible\nrepresentations of the graph algebra are constructed.",
    "arxiv_id": "q-alg/9602036",
    "authors": [
      "S. A. Frolov"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050542",
    "journal_ref": "Commun.Math.Phys. 200 (1999) 599-619",
    "title": "The centre of the graph and moduli algebras at roots of 1",
    "url": "https://arxiv.org/abs/q-alg/9602036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "965c23c2-367e-4c7a-bd97-eee5a7135d95",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}