  In this thesis, I will prove the existence of two filtrations of the
cohomology of line bundles on SL_3/B. The first one is a two-step filtration
that exists for $H^1(\mu)$ and $H^2(\mu)$ if $\mu$ is in the Griffith region.
The second one exists for all $H^i(\mu)$, which is similar to the p-filtration
that has been considered by Jens Carsten Jantzen.
