  Let $G$ be a split reductive group over a finite field $\Fq$. Let $F=\Fq(t)$
and let $\A$ denote the ad\`eles of $F$. We show that every double coset in
$G(F)\bsl G(\A)/ K$ has a representative in a maximal split torus of $G$. Here
$K$ is the set of integral ad\`elic points of $G$. When $G$ ranges over general
linear groups this is equivalent to the assertion that any algebraic vector
bundle over the projective line is isomorphic to a direct sum of line bundles.
