In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie algebras, and we describe the Gerstenhaber structure of ⊕1i=0 Hi(A). A quiver Q is called toupie if it has a unique source ...

We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra ...