{
  "annotation_id": "4687a72c-9ce7-4a90-8e60-aaa8bb5f3a4b",
  "date_created": "2026-03-02T18:01:28.068000Z",
  "date_modified": "2026-03-02T18:01:28.068000Z",
  "file_hash": "11a30ef4875766f767b8a87f7a2224a67d4c2a8738ea3a33bab9f569af9935df",
  "private": false,
  "record": {
    "abstract": "The quantum dynamical Yang-Baxter (or Gervais-Neveu-Felder) equation defines\nan R-matrix R(p), where $p$ stands for a set of mutually commuting variables. A\nfamily of SL(n)-type solutions of this equation provides a new realization of\nthe Hecke algebra. We define quantum antisymmetrizers, introduce the notion of\nquantum determinant and compute the inverse quantum matrix for matrix algebras\nof the type R(p) a_1 a_2 = a_1 a_2 R. It is pointed out that such a quantum\nmatrix algebra arises in the operator realization of the chiral zero modes of\nthe WZNW model.",
    "arxiv_id": "q-alg/9712026",
    "authors": [
      "L. K. Hadjiivanov",
      "A. P. Isaev",
      "O. V. Ogievetsky",
      "P. N. Pyatov",
      "I. T. Todorov"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1063/1.532779",
    "journal_ref": "J.Math.Phys. 40 (1999) 427-448",
    "title": "Hecke algebraic properties of dynamical R-matrices. Application to   related quantum matrix algebras",
    "url": "https://arxiv.org/abs/q-alg/9712026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae73052f-800b-4fcf-8c6c-6db89a21a3a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}