{
  "id": "0902.1810",
  "version": "v1",
  "published": "2009-02-11T13:51:39.000Z",
  "updated": "2009-02-11T13:51:39.000Z",
  "title": "Chopped and sliced cones and representations of Kac-Moody algebras",
  "authors": [
    "Thomas Bliem"
  ],
  "comment": "9 pages, 1 figure",
  "journal": "J. Pure Appl. Algebra 214 (2010), 1152-1164",
  "doi": "10.1016/j.jpaa.2009.10.002",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We introduce the notion of a chopped and sliced cone in combinatorial geometry and prove two structure theorems for the number of integral points in the individual slices of such a cone. We observe that this notion applies to weight multiplicities of Kac-Moody algebras and Littlewood-Richardson coefficients of semisimple Lie algebras, where we obtain the corresponding results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-11T13:51:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kac-moody algebras",
      "sliced cone",
      "representations",
      "semisimple lie algebras",
      "integral points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1810B"
    }
  }
}