Archiv der Mathematik

, Volume 110, Issue 1, pp 9–18 | Cite as

Modules over cluster-tilted algebras that do not lie on local slices

  • Ibrahim Assem
  • Ralf Schiffler
  • Khrystyna Serhiyenko


We characterize the indecomposable transjective modules over an arbitrary cluster-tilted algebra that do not lie on a local slice, and we provide a sharp upper bound for the number of (isoclasses of) these modules.


Cluster-tilted algebra Relation–extension Auslander–Reiten quiver Local slice 

Mathematics Subject Classification

16G20 16G70 13F60 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Ibrahim Assem
    • 1
  • Ralf Schiffler
    • 2
  • Khrystyna Serhiyenko
    • 3
  1. 1.Département de MathématiquesUniversité de SherbrookeSherbrookeCanada
  2. 2.Department of MathematicsUniversity of ConnecticutStorrsUSA
  3. 3.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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