3 problems

Let $\mathscr{R}$ be a complete spherical skeleton, and let $P\subseteq G$ be the parabolic subgroup stabilizing the open $B$-orbit; the quantity $\dim G/P$ depends only on…

Spherical skeleton conjecture. We have

Let $Rs\coloneqq(\Sigma,S^p,\mathcal{D}^a,\Gamma)$ be a complete spherical skeleton. Define … and … Here $R$ is the underlying root system and $R_{S^p}$ is the root subsystem gener…