manuscripta mathematica

, Volume 46, Issue 1–3, pp 117–136

Critical simply connected algebras

  • Klaus Bongartz


It is well-known that simply connected algebras are uniquely determined by a graded tree.Reversely,each graded tree gives rise to a not necessarily representation-finite algebra. We call an algebra critical provided it is not representation-finite, but any proper convex full subalgebra is.All critical algebras arising from graded trees are classified.


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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Klaus Bongartz
    • 1
  1. 1.Math.Institut BUniversität Stuttgart7 Stuttgart 1

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