manuscripta mathematica

, Volume 46, Issue 1, pp 117–136

Critical simply connected algebras

  • Klaus Bongartz

DOI: 10.1007/BF01185198

Cite this article as:
Bongartz, K. Manuscripta Math (1984) 46: 117. doi:10.1007/BF01185198


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.

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

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