  A flag domain is an open real group orbit in a complex flag manifold. It has
been shown that a flag domain is either pseudoconvex or pseudoconcave.
Moreover, generically 1-connected flag domains are pseudoconcave. In this
study, for flag domains contained in irreducible Hermitian symmetric spaces of
type AIII or CI, we determine which pseudoconcave flag domain is generically
1-connected.
