Journal of Lie Theory Vol. 13, No. 2, pp. 535563 (2003) 

Compactification of Parahermitian Symmetric Spaces and its Applications, II: Stratifications and Automorphism GroupsSoji KaneyukiSoji KaneyukiDepartment of Mathematics Nihon Institute of Technology Miyashirocho, Saitama 3458501 Japan kaneyuki@hoffman.cc.sophia.ac.jp Abstract: A simple parahermitian symmetric space is a symplectic symmetric space of a simple Lie group $G$ with two invariant Lagrangian foliations. Such a symmetric space has a nice $G$equivariant compactification. In this paper, we obtain the stratification of the compactification, whose strata are $G$orbits. By using this, we determine the automorphism group of the double foliation for each simple parahermitian symmetric space. Full text of the article:
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