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Finite-dimensional representations of Leavitt path algebras

Koc, Ayten; Ozaydin, Murad


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{
  "DOI": "10.1515/forum-2016-0268", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Koc", 
      "given": " Ayten"
    }, 
    {
      "family": "Ozaydin", 
      "given": " Murad"
    }
  ], 
  "container_title": "FORUM MATHEMATICUM", 
  "id": "29625", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2018, 
        1, 
        1
      ]
    ]
  }, 
  "page": "915-928", 
  "title": "Finite-dimensional representations of Leavitt path algebras", 
  "type": "article-journal", 
  "volume": "30"
}
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