Equivalence of domains arising from duality of orbits on flag manifolds II

Details Equivalence of domains arising from duality of orbits on flag manifolds II Equivalence of domains arising from duality of orbits on flag manifolds II

2003-09-30

arxiv.org/abs/math/0309469v3

Mathematics

Representation Theory

6 pages. Simplified the proof of the main theorem

Scientific paper

In [GM1], we defined a G_R-K_C invariant subset C(S) of G_C for each K_C-orbit S on every flag manifold G_C/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 G_R is of non-Hermitian type.

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