{
  "annotation_id": "1ce932da-c04e-49ed-bfcd-f4969b6c8bae",
  "date_created": "2026-03-02T18:01:28.523000Z",
  "date_modified": "2026-03-02T18:01:28.523000Z",
  "file_hash": "5f661196fb71732e1bbd65f65887ad58db71683d638e280f357c7e481af80899",
  "private": false,
  "record": {
    "abstract": "We show that the bases of irreducible integrable highest weight module of a\nnon-symmetric Kac-Moody algebra, which is associated to a quiver with a\nnontrivial admissible automorphism, can be naturally identified with a set of\ncertain invariant Langrangian irreducible subvarieties of certain varieties\nassociated with the quiver defined by Nakajima. In the case of non-symmetric\naffine or finite Kac-Moody algebras, the bases can be naturally identified with\na set of certain invariant Langrangian irreducible subvarieties of a particular\ndeformation of singularities of the moduli space of instantons over A-L-E\nspaces.\n  The motivation of this paper comes from string/string duality and the paper\nis ended with questions and speculations related to string/string duality.",
    "arxiv_id": "q-alg/9707003",
    "authors": [
      "Feng Xu"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "A note on quivers with symmetries",
    "url": "https://arxiv.org/abs/q-alg/9707003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e1034bee-86c7-40e6-9177-6553bb874197",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}