{
  "id": "math/0605654",
  "version": "v1",
  "published": "2006-05-24T22:30:41.000Z",
  "updated": "2006-05-24T22:30:41.000Z",
  "title": "Constructing all irreducible Specht modules in a block of the symmetric group",
  "authors": [
    "James P. Cossey",
    "Matthew Ondrus",
    "C. Ryan Vinroot"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "For any prime p, we construct, and simultaneously count, all of the complex Specht modules in a given p-block of the symmetric group which remain irreducible when reduced modulo p. We call the Specht modules with this property p-irreducible modules. Recently Fayers has proven a conjecture of James and Mathas that provides a characterization of the partitions that correspond to the p-irreducible modules. In this paper we present a method for decomposing the partitions corresponding to p-irreducible modules, and we use this decomposition to construct and count all of the partitions corresponding to p-irreducible Specht modules in a given block.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-24T22:30:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10"
    ],
    "keywords": [
      "symmetric group",
      "complex specht modules",
      "partitions corresponding",
      "p-irreducible specht modules",
      "property p-irreducible modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5654C"
    }
  }
}