AN EXAMPLE OF THE JANTZEN FILTRATION OF A D-MODULE

We compute the Jantzen filtration of a D-module on the flag variety of SL (2) (C ). At each step in the computation, we illustrate the sl(2)(C)-module structure on global sections to give an algebraic picture of this geometric computation. We conclude by showing that the Jantzen filtration on the D-module agrees with the algebraic Jantzen filtration on its global sections, demonstrating a famous theorem of Beilinson and Bernstein.