{
  "id": "1512.07813",
  "version": "v1",
  "published": "2015-12-24T13:46:52.000Z",
  "updated": "2015-12-24T13:46:52.000Z",
  "title": "Finite convergent presentations of plactic monoids for semisimple lie algebras",
  "authors": [
    "Nohra Hage"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We study rewriting properties of the column presentation of plactic monoid for any semisimple Lie algebra such as termination and confluence. Littelmann described this presentation using L-S paths generators. Thanks to the shapes of tableaux, we show that this presentation is finite and convergent. We obtain as a corollary that plactic monoids for any semisimple Lie algebra satisfy homological finiteness properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-24T13:46:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semisimple lie algebra",
      "finite convergent presentations",
      "plactic monoid",
      "satisfy homological finiteness properties",
      "algebra satisfy homological finiteness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}