{
  "id": "2012.09414",
  "version": "v1",
  "published": "2020-12-17T06:55:45.000Z",
  "updated": "2020-12-17T06:55:45.000Z",
  "title": "A homomorphism between Bott-Samuelson bimodules",
  "authors": [
    "Noriyuki Abe"
  ],
  "comment": "21 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In the previous paper, we defined a new category which categorifies the Hecke algebra. This is a generalization of the theory of Soergel bimodules. To prove theorems, the existences of certain homomorphisms between Bott-Samuelson bimodules are assumed. In this paper, we prove this assumption. We only assume the vanishing of certain two-colored quantum binomial coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-17T06:55:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55"
    ],
    "keywords": [
      "bott-samuelson bimodules",
      "homomorphism",
      "two-colored quantum binomial coefficients",
      "soergel bimodules",
      "hecke algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}