{
  "annotation_id": "bf82c245-9451-4efb-afa5-34a881e12a36",
  "date_created": "2026-03-02T18:01:24.706000Z",
  "date_modified": "2026-03-02T18:01:24.706000Z",
  "file_hash": "0a8e654151600fc3dd37ca584f143b0ba0ec94c92a9be8c021cd823d0a4e6663",
  "private": false,
  "record": {
    "abstract": "The Universal T-matrix is the capstone of the structure that consists of a\nquantum group and its dual, and the central object from which spring the\nT-matrices (monodromies) of all the associated integrable models. A closed\nexpression is obtained for the case of multiparameter (twisted) quantum\n$gl(N)$. The factorized nature of standard quantum groups, that allows the\nexplicit expression for $U\\hskip-1mm T $ to be obtained with relative ease,\nextends to some nonstandard quantum groups, such as those based on $A_n^{(2)}$,\nand perhaps to all. The paper is mostly concerned with parameters in general\nposition, but the extension to roots of unity is also explored, in the case of\n$g\\ell(N)$. The structure of the dual is now radically different, and an\ninteresting generalization of the $q$-exponential appears in the formulas for\nthe Universal T- and R-matrices. The projection to quantum $sl(N)$ is simple\nand direct; this allows, in particular, to apply recent results concerning\ndeformations of twisted $gl(N)$ to the semisimple quotient.",
    "arxiv_id": "q-alg/9505014",
    "authors": [
      "Christian Fronsdal"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Nato Workshop Proceedings, San Antonio Texas Feb. 1993",
    "title": "Universal T-matrix for Twisted Quantum gl(N)",
    "url": "https://arxiv.org/abs/q-alg/9505014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc60d718-01b1-494c-b141-47e7ccf5e033",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}