| Abstract: | The use of quadratic forms as a tool for characterizing classes of algebras is well known and widely accepted. However, until now a characterization of the interesting class of derived tubular algebras, by properties of the (non-symmetric) Euler form only, failed because of the existence of so-called pg-critical algebras, whose Euler form manifest similar properties as those of tubular algebras. The present article fills this gap and provides a distinction between derived tubular algebras and derived pg-critical algebras. Furthermore, an explicit characterization of representation-finite derived tubular algebras in terms of their Euler forms will be given. |
