  We consider the problem of decomposing tensor powers of the fundamental level
1 highest weight representation $V$ of the affine Kac-Moody algebra $\g(E_9)$.
We describe an elementary algorithm for determining the decomposition of the
submodule of $\Vn$ whose irreducible direct summands have highest weights which
are maximal with respect to the null-root. This decomposition is based on
Littelmann's path algorithm and conforms with the uniform combinatorial
behavior recently discovered by H. Wenzl for the series $E_N$, $N\not=9$.
