3 problems

Let $W$ be the Weyl group equipped with the twisting implicit in the notion of a twisted Coxeter element. A twisted Coxeter element is minimal length if it has minimal length in it…

Refined virtual dimension conjecture. For every $[b]\in B(G)_x$,

Let $G$ be quasisimple of adjoint type, let $cmathfrak g=\operatorname{Lie}(G)$, and let $\operatorname{cox}\bin W$ be a Coxeter element of order $n$. For $m$ coprime to $n$, let…