Equivalence of domains arising from duality of orbits on flag manifolds II
Toshihiko Matsuki
Abstract
In [GM1], we defined a GR-KC invariant subset C(S) of GC for each KC-orbit S on every flag manifold GC/P and conjectured that the connected component C(S)0 of the identity will be equal to the Akhiezer-Gindikin domain D if S is of nonholomorphic type. This conjecture was proved for closed S in [WZ1,WZ2,FH,M6] and for open S in [M6]. In this paper, we prove the conjecture for all the other orbits when GR is of non-Hermitian type.
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