{
  "id": "2011.10986",
  "version": "v1",
  "published": "2020-11-22T11:05:22.000Z",
  "updated": "2020-11-22T11:05:22.000Z",
  "title": "PRV for the Fusion product, the case $λ\\ggμ$",
  "authors": [
    "Arzu Boysal"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Given a complex simple Lie algebra $\\mathfrak{g}$ and a positive integer $\\ell$, under the assumption $\\lambda\\gg\\mu$, we show that irreducible representations of $\\mathfrak{g}$ of the form $V(\\lambda +w\\mu)$, $w\\in W,$ with level at most $\\ell$ appear in the fusion product of $V(\\lambda)$ and $V(\\mu)$. This verifies the existence of PRV components for the fusion product in this special case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-22T11:05:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "fusion product",
      "complex simple lie algebra",
      "prv components",
      "special case",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}