{
  "id": "0801.3633",
  "version": "v4",
  "published": "2008-01-23T17:58:25.000Z",
  "updated": "2010-04-19T21:35:24.000Z",
  "title": "On the Representation Theory of an Algebra of Braids and Ties",
  "authors": [
    "Steen Ryom-Hansen"
  ],
  "comment": "24 pages. Final version. To appear in Journal of Algebraic Combinatorics.",
  "categories": [
    "math.RT"
  ],
  "abstract": "We consider the algebra ${\\cal E}_n(u)$ introduced by F. Aicardi and J. Juyumaya as an abstraction of the Yokonuma-Hecke algebra. We construct a tensor space representation for ${\\cal E}_n(u)$ and show that this is faithful. We use it to give a basis for ${\\cal E}_n(u)$ and to classify its irreducible representations.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-04-19T21:35:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representation theory",
      "tensor space representation",
      "yokonuma-hecke algebra",
      "abstraction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3633R"
    }
  }
}