A Lie-theoretic construction of representations of the degenerate affine and double affine Hecke algebras of type $B{C}_n$

Pavel Etingof, Rebecca Freund, Xiaoguang Ma

Let G=GL(N), K=GL(p)xGL(q), where p+q=N, and n be a positive integer. We construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of repre…