Journal of Lie Theory 13 (2003), No. 2, 535--563
Copyright Heldermann Verlag 2003
Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups
Soji Kaneyuki
Dept. of Mathematics, Nihon Institute of Technology, Miyashiro-cho, Saitama, 345-8501, Japan
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.
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