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