  Let $T$ be a Lie-Yamaguti algebra whose standard enveloping Lie algebra
$L(T)$ is semisimple and $[T, T, T]=T$. Then we give a description of
representations of $T$ in terms of representations of $L(T)$ with certain
additional data. Similarly, if $(T, \sigma)$ is an infinitesimal $s$-manifold
such that $L(T)$ is semisimple, then any representation of $(T, \sigma)$ comes
from a representation of $L(T)$.
