Fargues–Rapoport conjecture for $p$-adic period domains in the non-basic case

We prove the Fargues–Rapoport conjecture for $p$-adic period domains in non-basic case with minuscule cocharacter. More precisely, we give a group-theoretical criterion cases when admissible locus and weakly coincide. This generalizes result of Hartl (2013) group $\operatorname{GL}\_n$. In last section, also about intersection Newton strata flag variety.