{
  "id": "hep-th/9312195",
  "version": "v1",
  "published": "1993-12-27T17:25:31.000Z",
  "updated": "1993-12-27T17:25:31.000Z",
  "title": "Solutions of quantum Yang-Baxter equation related to $U_q (gl(2))$ algebra and associated integrable lattice models",
  "authors": [
    "B. Basu-Mallick"
  ],
  "comment": "17 pages",
  "categories": [
    "hep-th",
    "math.QA"
  ],
  "abstract": "A coloured braid group representation (CBGR) is constructed with the help of some modified universal ${\\cal R}$-matrix, associated to $U_q(gl(2))$ quantised algebra. Explicit realisation of Faddeev-Reshetikhin-Takhtajan (FRT) algebra is built up for this CBGR and new solutions of quantum Yang-Baxter equation are subsequently found through Yang-Baxterisation of FRT algebra. These solutions are interestingly related to nonadditive type quantum $R$-matrix and have a nontrivial $q\\rightarrow 1$ limit. Lax operators of several concrete integrable models, which may be considered as some `coloured' extensions of lattice nonlinear Schr${\\ddot {\\rm o}}$dinger model and Toda chain, are finally obtained by taking different reductions of such solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-12-27T17:25:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum yang-baxter equation",
      "associated integrable lattice models",
      "coloured braid group representation",
      "lattice nonlinear schr"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 36875,
      "adsabs": "1993hep.th...12195B"
    }
  }
}