{
  "id": "0907.1336",
  "version": "v2",
  "published": "2009-07-08T04:06:34.000Z",
  "updated": "2010-03-18T14:55:40.000Z",
  "title": "Pieri algebras for the orthogonal and symplectic groups",
  "authors": [
    "Sangjib Kim",
    "Soo Teck Lee"
  ],
  "comment": "26 pages, v2: new introduction, improved exposition, examples.",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We study the structure of a family of algebras which encodes a generalization of the Pieri Rule for the complex orthogonal group. In particular, we show that each of these algebras has a standard monomial basis and has a flat deformation to a Hibi algebra. There is also a parallel theory for the complex symplectic group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-18T14:55:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "05E15"
    ],
    "keywords": [
      "pieri algebras",
      "complex symplectic group",
      "complex orthogonal group",
      "standard monomial basis",
      "pieri rule"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.1336K"
    }
  }
}