2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222379We 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).22 pagesRepresentation TheoryDuality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)text