2 problems

Let $G$ be a reductive algebraic group with involution $\theta$, let $K=G^{\theta}_0$ be the identity component of the fixed-point group, and let $B\supset H$ be a $\theta$-stable…

Let $G$ be a connected simply-connected, semisimple complex algebraic group, let $\sigma$ be a diagram automorphism of $G$, and let $K$ be its fixed subgroup. Fix a standard parabo…