Hochschild cohomology of relation extension algebras

Ibrahim Assem, M. Andrea Gatica, Ralf Schiffler +1

Let $B$ be the split extension of a finite dimensional algebra $C$ by a $C$-$C$-bimodule $E$. We define a morphism of associative graded algebras $φ^*:\HH^*(B)\rightarrow \HH^*(C)$…