Extensions of hereditary algebras
Let k be an algebraically closed field, B the path algebra over k of an oriented Dynkin diagram of type \(E_ 6,E_ 7\), or \(E_ 8\), and M an indecomposable right B-module. The author determines the representation type (finite, tame or wild) of the matrix algebra \(\left( \begin{matrix} k\\ 0\end{matrix} \begin{matrix} M\\ B\end{matrix} \right)\) for all possible orientations B and indecomposable modules M. The results are presented in a classification table. The proof is based on the techniques of tilting modules.
scientific article; zbMATH DE number 3875481
scientific article