manuscripta mathematica

, Volume 46, Issue 1, pp 117-136

First online:

Critical simply connected algebras

  • Klaus BongartzAffiliated withMath.Institut B, Universität Stuttgart

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.