  The functors constructed by Arakawa and the author relate the representation
theory of gl_n and that of the degenerate affine Hecke algebra H_l of GL_l.
They transform the Verma modules over gl_n to the standard modules over H_l.
They transform the simple modules to the simple modules. We also prove that
they transform the Jantzen filtration on the Verma modules to that on the
standard modules. We obtain the following results for the representations of
H_l by translating the corresponding results for gl_n through the functors: (i)
the (generalized) Bernstein-Gelfand-Gelfand resolution for a certain class of
simple modules, (ii) the multiplicity formula for the composition series of the
standard modules, and (iii) its refinement concerning the Jantzen filtration on
the standard modules, which was conjectured by Rogawski.
