4 problems

Let $W$ be a complex reflection group, let $R(W)$ be its ring of definition, and let $\mathcal{H}(W)$ be its generic Hecke algebra. Let $B(W)$ be the braid group, let…

BMM symmetrising trace conjecture. There exists a symmetrising trace $\tau:\mathcal{H}(W)\to R$ such that:

Let $W$ be a complex reflection group, let $I$ be an intersection of reflecting hyperplanes of $W$, and let $W_I$ be the corresponding parabolic subgroup. Let $d4d5(W)$ be the gene…

Let $W$ be a complex reflection group with generic Hecke algebra $\mathcal{H}(W)$ over $\mathbb{Z}[\mathbf{u},\mathbf{u}^{-1}]$. Let $B(W)$ be its braid group, let…