{
  "id": "1606.05475",
  "version": "v1",
  "published": "2016-06-17T11:03:46.000Z",
  "updated": "2016-06-17T11:03:46.000Z",
  "title": "A Geometric Approach to the stabilisation of certain sequences of Kronecker coefficients",
  "authors": [
    "Maxime Pelletier"
  ],
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We give another demonstration, using tools from Geometric Invariant Theory, of a result due to S. Sam and A. Snowden in 2014, concerning the stability of Kro-necker coefficients. This result states that some sequences of Kronecker coefficients eventually stabilise, and our method gives a nice geometric bound from which the stabilisation occurs. We perform the explicit computation of such a bound on two examples, one being the classical case of Murnaghan's stability. Moreover, we see that our techniques apply to other coefficients arising in Representation Theory: namely to some plethysm coefficients and in the case of the tensor product of representations of the hyperoctahedral group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-17T11:03:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric approach",
      "geometric invariant theory",
      "kronecker coefficients eventually stabilise",
      "nice geometric bound",
      "kro-necker coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}