Hochschild cohomology of triangular matrix algebras (Q1593793)

In the last years, the study of the Hochschild cohomology has played an important role in the representation theory of finite dimensional algebras. In the paper under review, the authoresses study the Hochschild cohomology of a triangular matrix algebra of the form \(B=\left(\begin{smallmatrix} R &0\\ M &A\end{smallmatrix}\right)\). They show the existence of two long exact sequences which enable to transport some informations from \(R,A\) to \(B\). One of the sequences generalises a corresponding sequence obtained by Happel for one-point extension algebras.