{
  "id": "2107.08244",
  "version": "v1",
  "published": "2021-07-17T14:22:04.000Z",
  "updated": "2021-07-17T14:22:04.000Z",
  "title": "On the product of simple modules over KLR algebras",
  "authors": [
    "Yingjin Bi"
  ],
  "comment": "15 pages; any comments welcome",
  "categories": [
    "math.RT",
    "math.AG",
    "math.RA"
  ],
  "abstract": "In this paper, we study the product of two simple modules over KLR algebras via perverse sheaves on representation spaces. Explicitly, We calculate the coefficients of simple modules appearing in this product by Restriction functor on perverse sheaves. We give a description about when the product of two simple modules is also a simple module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-17T14:22:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "13F60",
      "18D20",
      "81R10"
    ],
    "keywords": [
      "klr algebras",
      "perverse sheaves",
      "representation spaces",
      "restriction functor",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}