  Let $\Sigma_r$ be the symmetric group acting on $r$ letters, $K$ be a field
of characteristic 2 and $\lambda$ and $\mu$ be partitions of $r$ in at most two
parts. Denote the permutation module corresponding to the Young subgroup
$\Sigma_\lambda$ in $\Sigma_r$ by $M^\lambda$, and the indecomposable Young
module by $Y^\mu$. We give an explicit presentation of the endomorphism algebra
${\rm End}_{K[\Sigma_r]}(Y^\mu)$, using the idempotents found by Doty, Erdmann
and Henke in [1].
