Title: The extension algebra of some cohomological Mackey functors Authors: Serge Bouc and Radu Stancu Abstract: Let $k$ be a field of characteristic $p$. We construct a new inflation functor for cohomological Mackey functors for finite groups over $k$. Using this inflation functor, we give an explicit presentation of the graded algebra of self extensions of the simple functor $S_1^G$, when $p$ is odd and $G$ is an elementary abelian $p$-group. AMS Subject Classification : 18A25, 18G10, 18G15, 20J05. Keywords~: Cohomological, Mackey functor, extension, simple.