{
  "annotation_id": "014f9b8f-0b25-4cac-ae1d-101c78269798",
  "date_created": "2026-03-02T18:01:25.373000Z",
  "date_modified": "2026-03-02T18:01:25.373000Z",
  "file_hash": "3ab581e6d9ce3515ed085ee250339036e0243ede53191d65d0bd387d940739b9",
  "private": false,
  "record": {
    "abstract": "Let $V$ be a vertex operator algebra and $g$ an automorphism of finite order.\nWe construct an associative algebra $A_g(V)$ and a pair of functors between the\ncategory of $A_g(V)$-modules and a certain category of admissible $g$-twisted\n$V$-modules. In particular, these functors exhibit a bijection between the\nsimple modules in each category. We give various applications, including the\nfact that the complete reducibility of admissible $g$-twisted modules implies\nboth the finite-dimensionality of homogeneous spaces and the finiteness of the\nnumber of simple $g$-twisted modules.",
    "arxiv_id": "q-alg/9509005",
    "authors": [
      "Chongying Dong",
      "Haisheng Li",
      "Geoffrey Mason"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Twisted representations of vertex operator algebras",
    "url": "https://arxiv.org/abs/q-alg/9509005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "87341c2e-e81d-4447-9252-110db0372f5c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}