UC Davis

We compute the images of polynomial GLN-modules and the coordinate algebra under the Etingof-Freund-Ma functor [5]. These yield Y-semisimple representations of degenerate ane and double ane Hecke algebra of type C. We give a combinatorial description of the image in terms of standard tableaux on a collection of skew shapes and analyze weights of the image in terms of contents. For the nondegenerate case, we consider Jordan-Ma functor [8]. We compute the images of finite dimensional irreducible Uq(glN)-modules and the quantum coordinate algebra under the Jordan-Ma functor, which are also Y-semisimple representations of ane and double ane Hecke algebras respectively.