{
  "id": "1404.6574",
  "version": "v2",
  "published": "2014-04-25T22:29:06.000Z",
  "updated": "2014-07-20T18:03:07.000Z",
  "title": "A basis theorem for the affine oriented Brauer category and its cyclotomic quotients",
  "authors": [
    "Jonathan Brundan",
    "Jonathan Comes",
    "David Nash",
    "Andrew Reynolds"
  ],
  "comment": "v2: Minor corrections",
  "categories": [
    "math.RT"
  ],
  "abstract": "The affine oriented Brauer category is a monoidal category obtained from the oriented Brauer category (= the free symmetric monoidal category generated by a single object and its dual) by adjoining a polynomial generator subject to appropriate relations. In this article, we prove a basis theorem for the morphism spaces in this category, as well as for all of its cyclotomic quotients.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-20T18:03:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "18D10"
    ],
    "keywords": [
      "affine oriented brauer category",
      "cyclotomic quotients",
      "basis theorem",
      "free symmetric monoidal category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6574B"
    }
  }
}