{
  "annotation_id": "5bb2053a-8638-45a0-be0e-4c728f35e6e0",
  "date_created": "2026-03-02T18:01:27.734000Z",
  "date_modified": "2026-03-02T18:01:27.734000Z",
  "file_hash": "b946b330402fdf0dcba2a641568b00c0e35ff84bfbbc32e6430a25857ce7cbc1",
  "private": false,
  "record": {
    "abstract": "Our experience shows that dealing with noncommutative objects one should not\nimitate the classical commutative mathematics, but follow \"the way it is\"\nstarting with basics. In this paper we consider mainly two such problems:\nnoncommutative Pl\\\"ucker coordinates (as a background of a noncommutative\ngeometry) and noncommutative Bezout and Vieta theorems (as a background of\nnoncommutative algebra). We apply these results to the theory of noncommutative\nsymmetric functions started by Gelfand, Krob, Lascoux, Leclerc, Retakh, Thibon.\nWe also continue our investigation of noncommutative continued fractions and\nalmost triangular matrices. It turns out that this problem is related with a\ncomputation of quantum cohomology.",
    "arxiv_id": "q-alg/9705026",
    "authors": [
      "I. Gelfand",
      "V. Retakh"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Quasideterminants, I",
    "url": "https://arxiv.org/abs/q-alg/9705026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "69a08335-8bf6-42bb-89ef-faf344eddc3a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}