{
  "annotation_id": "2b7f4136-287e-48ba-af20-b41d1e3a4f41",
  "date_created": "2026-03-02T18:01:28.359000Z",
  "date_modified": "2026-03-02T18:01:28.359000Z",
  "file_hash": "4eac0b74e546fdfb6fee26e226f5d54a3322db898492ede9d73cf0e8f3aec349",
  "private": false,
  "record": {
    "abstract": "Let V be a vertex operator algebra and g an automorphism of order T. We\nconstruct a sequence of associative algebras A_{g,n}(V) with n\\in\\frac{1}{T}\\Z\nnonnegative such that A_{g,n}(V) is a quotient of A_{g,n+1/T}(V) and a pair of\nfunctors between the category of A_{g,n}(V)-modules which are not\nA_{g,n-1/T}(V)-modules and the category of admissible V-modules. These functors\nexhibit a bijection between the simple modules in each category. We also show\nthat V is g-rational if and only if all A_{g,n}(V) are finite-dimensional\nsemisimple algebras.",
    "arxiv_id": "q-alg/9702027",
    "authors": [
      "C. Dong",
      "H. Li",
      "G. Mason"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Twisted representations of vertex operator algebras and associative   algebras",
    "url": "https://arxiv.org/abs/q-alg/9702027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6d7a86c8-ec61-4f8e-9526-bf71d1c55667",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}