{
  "id": "0801.2496",
  "version": "v1",
  "published": "2008-01-16T14:22:42.000Z",
  "updated": "2008-01-16T14:22:42.000Z",
  "title": "A new approach to the representation theory of the symmetric groups. IV. $ \\Bbb Z_{2}$-graded groups and algebras",
  "authors": [
    "A. M. Vershik",
    "A. N. Sergeev"
  ],
  "comment": "30 pp. Ref.23",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We start with definitions of the general notions of the theory of $\\Bbb Z_{2}$-graded algebras. Then we consider theory of inductive families of $\\Bbb Z_{2}$-graded semisimple finite-dimensional algebras and its representations in the spirit of approach of the papers \\cite{VO,OV} to representation theory of symmetric groups. The main example is the classical - theory of the projective representations of symmetric groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-16T14:22:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C30"
    ],
    "keywords": [
      "symmetric groups",
      "representation theory",
      "graded groups",
      "graded semisimple finite-dimensional algebras",
      "general notions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.2496V"
    }
  }
}