{
  "id": "1609.08440",
  "version": "v1",
  "published": "2016-09-27T13:46:19.000Z",
  "updated": "2016-09-27T13:46:19.000Z",
  "title": "Affine $G_2$ Centralizer Algebras",
  "authors": [
    "Lilit Martirosyan",
    "Hans Wenzl"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that ${\\rm End}_{\\bf U}(V_\\lambda\\otimes V^{\\otimes n})$ is generated by the affine braid group $AB_n$ where ${\\bf U}=U_q\\mathfrak g(G_2)$, $V$ is its 7-dimensional irreducible representation and $V_\\lambda$ is an arbitrary irreducible representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-27T13:46:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "centralizer algebras",
      "affine braid group",
      "arbitrary irreducible representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}