{
  "id": "2107.13868",
  "version": "v1",
  "published": "2021-07-29T10:09:09.000Z",
  "updated": "2021-07-29T10:09:09.000Z",
  "title": "A note on a Hecke ring associated with the Heisenberg Lie algebra",
  "authors": [
    "Fumitake Hyodo"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "This paper focuses on the theory of the Hecke rings associated with the general linear groups in Chapter 3 of Shimura's book \"Introduction to the arithmetic theory of automorphic functions\", and generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-29T10:09:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20G25",
      "20G30",
      "11F03"
    ],
    "keywords": [
      "heisenberg lie algebra",
      "hecke ring",
      "general linear groups",
      "automorphic functions",
      "arithmetic theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}