# Flag manifolds as homogeneous Kahler manifolds

In this question it is asked if every flag manifold can be given the structure of a Kähler manifold. In the first answer it is written

Flag manifolds exhaust all compact homogeneous Kähler manifolds corresponding to a compact connected semi-simple Lie group

What is the standard reference for this result?

Flag manifolds $$G/C(S)$$ even exhaust homogeneous symplectic manifolds of $$G$$: Borel-Weil (1954, Thm 1). Also restated with fewer details in (1954, Thm 1).