{
  "id": "1701.07563",
  "version": "v1",
  "published": "2017-01-26T03:19:30.000Z",
  "updated": "2017-01-26T03:19:30.000Z",
  "title": "Example of categorification of a cluster algebra",
  "authors": [
    "Laurent Demonet"
  ],
  "comment": "13 pages, 44th Symposium on Ring and Representation Theory (Japan)",
  "journal": "Proceedings of the 44th Symposium on Ring and Representation Theory (2011) 30--42",
  "categories": [
    "math.RT"
  ],
  "abstract": "We present here two detailed examples of additive categorifications of the cluster algebra structure of a coordinate ring of a maximal unipotent subgroup of a simple Lie group. The first one is of simply-laced type ($A_3$) and relies on an article by Gei\\ss, Leclerc and Schr\\\"oer. The second is of non simply-laced type ($C_2$) and relies on an article by the author of this note. This is aimed to be accessible, specially for people who are not familiar with this subject.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-26T03:19:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cluster algebra structure",
      "maximal unipotent subgroup",
      "simple lie group",
      "non simply-laced type",
      "additive categorifications"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Represent. Theory"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}