Abstract
LetZ=G/Q be a complex flag manifold andG 0 a real form ofG. Suppose thatG 0 is the analytic automorphism group of an irreducible bounded symmetric domain and that some openG 0-orbit onZ is a semisimple symmetric space. Then theG 0-orbit structure ofZ is described explicitly by the partial Cayley transforms of a certain hermitian symmetric sub-flagF⊃Z. This extends the results and simplifies the proof for the classical orbit structure description of [10] and [11], which applies whenF=Z.
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Research partially supported by N.S.F. Grant DMS 93 21285
Research partially supported by N.S.F. Grant DMS 93 03224 and by hospitality of the MSRI and the Institute for Advanced Study
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Wolf, J.A., Zierau, R. Cayley transforms and orbit structure in complex flag manifolds. Transformation Groups 2, 391–405 (1997). https://doi.org/10.1007/BF01234542
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DOI: https://doi.org/10.1007/BF01234542