Highest weight category structures on $rep(B)$ and full exceptional collections on generalized flag varieties over $\mathbb{Z}$

Alexander Samokhin, Wilberd van der Kallen

Given a split simply connected and connected algebraic group scheme $\mathbb{G}$ over $\mathbb{Z}$ and a split parabolic subgroup scheme $\mathbb{P}\subset \mathbb{G}$, this paper cons…