{
  "id": "2208.07674",
  "version": "v1",
  "published": "2022-08-16T11:27:39.000Z",
  "updated": "2022-08-16T11:27:39.000Z",
  "title": "Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group",
  "authors": [
    "Yakov Veryovkin"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1901.06929",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "The lower central series of the rgiht-angled Coxeter group $RC_\\mathcal K$ and the corresponding graded Lie algebra $L(RC_\\mathcal K)$ associated with the lower central series of a right-angled Coxeter group are studied. Relations are obtained in the graded components of the Lie algebra $L(RC_\\mathcal K)$. A basis of the fourth graded component $L(RC_\\mathcal K)$ for groups with at most $4$ generators was described.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-16T11:27:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower central series",
      "right-angled coxeter group",
      "corresponding graded lie algebra",
      "fourth graded component",
      "rgiht-angled coxeter group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}