{
  "id": "1901.06929",
  "version": "v1",
  "published": "2019-01-21T13:35:45.000Z",
  "updated": "2019-01-21T13:35:45.000Z",
  "title": "The Lie algebra associated with the lower central series of a right-angled Coxeter group",
  "authors": [
    "Yakov Veryovkin"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "We study the lower central series of a right-angled Coxeter group $RC_K$ and the associated Lie algebra $L(RC_K)$. The latter is related to the graph Lie algebra $L_K$. We give an explicit combinatorial description of the first three consecutive factors of the lower central series of the group $RC_K$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-21T13:35:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower central series",
      "right-angled coxeter group",
      "graph lie algebra",
      "explicit combinatorial description",
      "associated lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}