Duality between n( ) and the Degenerate Affine Hecke Algebra

We construct a family of exact functors from the Bernstein–Gelfand–Gelfand category of n-modules to the category of finite-dimensional representations of the degenerate affine Hecke algebraHlofGLl. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simpleHl-module can be thus obtained.