{
  "annotation_id": "9410a40c-98be-4e2f-acf1-eed3f11326d7",
  "date_created": "2026-03-02T18:01:24.713000Z",
  "date_modified": "2026-03-02T18:01:24.713000Z",
  "file_hash": "a125f074ac0a47df5fab24ae14314c5f7455288ba9491af6db83dabe3421cdd7",
  "private": false,
  "record": {
    "abstract": "In this paper we indicate one method of construction of linear\nrepresentations of groups and algebras with translation invariant (except,\nmaybe , finite number) defining relationships. As an illustration of this\nmethod, we give one approach to the construction of linear representations of\nbraid group and derive some series of such representations. Some invariants of\noriented knots and links are constructed.\n  The author is grateful to Yuri Drozd, Sergey Ovsienko and other members of\nalgebraic seminar at Kiev University for the creative atmosphere without which\nthis work could hardly appear.",
    "arxiv_id": "q-alg/9504025",
    "authors": [
      "Vladimir K. Medvedev"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Linear representations of groups with translation invariant defining   relationships. Some new series of braid group representations and new   invariants of links and knots",
    "url": "https://arxiv.org/abs/q-alg/9504025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bac6a614-14b8-49f4-a62a-f3fbfde24422",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}