{
  "id": "1506.02780",
  "version": "v1",
  "published": "2015-06-09T05:14:26.000Z",
  "updated": "2015-06-09T05:14:26.000Z",
  "title": "Cellularity of a Larger Class of Diagram Algebras",
  "authors": [
    "N. Karimilla Bi"
  ],
  "comment": "3 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we realize the algebra of $\\mathbb{Z}_2$-relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras using the method of \\cite{GM1}. Using the results of Graham and Lehrer in \\cite{GL}, we give the modular representations of the algebra of $\\mathbb{Z}_2$-relations, signed partition algebras and partition algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T05:14:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G30"
    ],
    "keywords": [
      "larger class",
      "diagram algebras",
      "cellularity",
      "signed partition algebras",
      "tabular algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602780K"
    }
  }
}