2 problems

Let $x\in\widetilde W$ and let $[b]\in B(G)$ be integral, meaning that $\operatorname{defect}(b)=0$. For each $v\in\operatorname{LP}(x)$ and $u\in W$, define the multiset … Set…

Let $G$ be the reductive group in the setup, let $x=w\varepsilon^\mu\in\widetilde W$ lie in a shrunken Weyl chamber, so that $\operatorname{LP}(x)=\{v\}$ for a uniquely determined…