{
  "id": "1407.2385",
  "version": "v1",
  "published": "2014-07-09T08:28:12.000Z",
  "updated": "2014-07-09T08:28:12.000Z",
  "title": "The geometry of uniserial representations of finite dimensional algebras III: Finite uniserial type",
  "authors": [
    "Birge Huisgen-Zimmermann"
  ],
  "journal": "Trans. Amer. Math. Soc. 348 (1996) 4775-4812",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "A description is given of those sequences ${\\Bbb S}= (S(0),S(1),\\dots,S(l))$ of simple modules over a finite dimensional algebra for which there are only finitely many uniserial modules with consecutive composition factors $S(0),\\dots,S(l)$. Necessary and sufficient conditions for an algebra to permit only a finite number of isomorphism types of uniserial modules are derived. The main tools in this investigation are the affine algebraic varieties parametrizing the uniserial modules with composition series ${\\Bbb S}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-09T08:28:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16G20",
      "16G60",
      "16P10"
    ],
    "keywords": [
      "finite dimensional algebra",
      "finite uniserial type",
      "uniserial representations",
      "uniserial modules",
      "affine algebraic varieties"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.2385H"
    }
  }
}