3 problems

Let $B$ be the braid group associated with a well-generated complex reflection group, let $\mathcal{R}$ be its set of braid reflections, and let $\delta$ be the braid-group analogu…

Lewis's conjecture. Two reflection factorizations of $g$ belong to the same Hurwitz orbit if and only if they generate the same subgroup $H\leq W$ and have the same multiset of $H$…

Let $W$ be a well-generated finite complex reflection group, let $c$ be a Coxeter element of $W$, and consider factorizations of $c$ into reflections. Two such reflection factoriza…