{
  "id": "2301.12367",
  "version": "v1",
  "published": "2023-01-29T06:06:11.000Z",
  "updated": "2023-01-29T06:06:11.000Z",
  "title": "On Representations of Affine Temperley--Lieb Algebras",
  "authors": [
    "R. M. Green"
  ],
  "comment": "24 pages, 3 figures. This paper was published in 1998 in the Proceedings of the 8th International Conference on Representations of Algebras",
  "journal": "Algebras and modules II, Canadian Mathematical Society Conference Proceedings 24 (1998), 245--261",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the finite-dimensional simple modules, over an algebraically closed field, of the affine Temperley--Lieb algebra corresponding to the affine Weyl group of type $A$. These turn out to be closely related to the simple modules for a certain $q$-analogue of the annular algebra of V.F.R. Jones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-29T06:06:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representations",
      "finite-dimensional simple modules",
      "affine weyl group",
      "affine temperley-lieb algebra corresponding",
      "annular algebra"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}