  We define an exact functor $F_{n,k}$ from the category of Harish-Chandra
modules for $GL(n,R)$ to the category of finite-dimensional representations for
the degenerate affine Hecke algebra for $gl(k)$. Under certain natural
hypotheses, we prove that the functor maps standard modules to standard modules
(or zero) and irreducibles to irreducibles (or zero).
