{
  "id": "1104.2109",
  "version": "v1",
  "published": "2011-04-12T03:47:33.000Z",
  "updated": "2011-04-12T03:47:33.000Z",
  "title": "Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--",
  "authors": [
    "Hideki Omori",
    "Yoshiaki Maeda",
    "Naoya Miyazaki",
    "Akira Yoshioka"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper presents a preliminary version of the deformation theory of expressions of elements of algebras. The notion of *-functions is given. Several important problems appear in simplified forms, and these give an intuitive bird's-eye of the whole theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-12T03:47:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jacobis theta functions",
      "deformation expression",
      "important problems appear",
      "preliminary version",
      "deformation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.2109O"
    }
  }
}