On Hecke algebras and $Z$-graded twisting, Shuffling and Zuckerman functors

Ming Fang, Jun Hu, Yujiao Sun

Let $g$ be a complex semisimple Lie algebra with Weyl group $W$. Let $H(W)$ be the Iwahori-Hecke algebra associated to $W$. For each $w\in W$, let $T_w$ and $C_w$ be the correspond…