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Finite-dimensional representations of Leavitt path algebras

Koc, Ayten; Ozaydin, Murad


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/29625</identifier>
  <creators>
    <creator>
      <creatorName>Koc, Ayten</creatorName>
      <givenName>Ayten</givenName>
      <familyName>Koc</familyName>
      <affiliation>Istanbul Kultur Univ, Dept Math &amp; Comp Sci, Atakoy Campus, Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ozaydin, Murad</creatorName>
      <givenName>Murad</givenName>
      <familyName>Ozaydin</familyName>
      <affiliation>Univ Oklahoma, Dept Math, Norman, OK 73019 USA</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Finite-Dimensional Representations Of Leavitt Path Algebras</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/29625</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1515/forum-2016-0268</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="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.</description>
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