{
  "annotation_id": "3285a00a-c1ce-4735-bab7-f02302e6f3fa",
  "date_created": "2026-03-02T18:01:27.731000Z",
  "date_modified": "2026-03-02T18:01:27.731000Z",
  "file_hash": "4f9c3e31cdb474d18bf4dcd3ad29e2c8879c93a23167477ebb41416939bc92c9",
  "private": false,
  "record": {
    "abstract": "We prove a refinement of Vogel\u0027s statement that the Vassiliev invariants of\nknots coming from semisimple Lie algebras do not generate all Vassiliev\ninvariants. This refinement takes into account the second grading on Vassiliev\ninvariants induced by cabling of knots. As an application we get an\namelioration of the actually known lower bounds for the dimensions of the space\nof Vassiliev invariants.",
    "arxiv_id": "q-alg/9706005",
    "authors": [
      "Jens Lieberum"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "J. of Knot Th. and its Ramif. 8, No. 5 (1999), 659-666",
    "title": "On Vassiliev Invariants not Coming from Semisimple Lie Algebras",
    "url": "https://arxiv.org/abs/q-alg/9706005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "970b10c6-0929-4d43-8dc1-32c69583293d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}