{
  "id": "2207.14739",
  "version": "v1",
  "published": "2022-07-29T15:24:42.000Z",
  "updated": "2022-07-29T15:24:42.000Z",
  "title": "On Brauer configuration algebras induced by finite groups",
  "authors": [
    "Alex Sierra Cárdenas"
  ],
  "comment": "31 pages, 4 figures. arXiv admin note: text overlap with arXiv:1808.03194",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "In this article we calculate two aspects of the representation theory of a Brauer configuration algebra: its Cartan matrix, and the module length of its associated indecomposable projective modules. Then we introduce the concept of subgroup-occurrence of an element in a group and use the previous aspects to demonstrate combinatorial equalities satisfied for any finite group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-29T15:24:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brauer configuration algebra",
      "finite group",
      "demonstrate combinatorial equalities",
      "module length",
      "cartan matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}