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Finite-dimensional representations of Leavitt path algebras

Koc, Ayten; Ozaydin, Murad


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{
  "@context": "https://schema.org/", 
  "@id": 29625, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Istanbul Kultur Univ, Dept Math & Comp Sci, Atakoy Campus, Istanbul, Turkey", 
      "name": "Koc, Ayten"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Oklahoma, Dept Math, Norman, OK 73019 USA", 
      "name": "Ozaydin, Murad"
    }
  ], 
  "datePublished": "2018-01-01", 
  "description": "When Gamma is a row-finite digraph, we classify all finite-dimensional modules of the Leavitt path algebra L(Gamma) via an explicit Morita equivalence given by an effective combinatorial (reduction) algorithm on the digraph Gamma. The category of (unital) L(Gamma)-modules is equivalent to a full subcategory of quiver representations of Gamma. However, the category of finite-dimensional representations of L(Gamma) is tame in contrast to the finite-dimensional quiver representations of G, which are almost always wild.", 
  "headline": "Finite-dimensional representations of Leavitt path algebras", 
  "identifier": 29625, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Finite-dimensional representations of Leavitt path algebras", 
  "url": "https://aperta.ulakbim.gov.tr/record/29625"
}
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