Schur-Weyl Reciprocity for the Hecke Algebra of $(\mathbb{Z}/r\mathbb{Z})\wr {\mathfrak{S}}_n$

Susumu Ariki, Tomohide Terasoma, Hirofumi Yamada

The purpose of this paper is to give a reciprocity between $U_q(h)$ and $\Cal H_{n,r}$, the Hecke algebra of $(\mathbb{Z}/r\mathbb{Z})\wr {\mathfrak{S}}_n$ introduced by Ariki and Koike. Let $K…