2 problems

Centre conjecture. Even when $\mathscr H$ is not semisimple, its centre should be the set of symmetric polynomials in $L_1,\dots,L_n$.

Let $H_n^{\text{aff}}$ be the affine Hecke algebra with coefficients extended to $B$, where … and $Q=q-1$ is inverted. Let $\psi_m\colon H_n^{\text{aff}}\to\mathcal K_n$ be the quo…