Geodesic
Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups
Soji Kaneyuki1, 2, 3
1Dept. of Mathematics, Nihon Institute of Technology, Miyashiro-cho, Saitama, 345-8501, Japan
2A 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.
3[
Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 535-563 
Soji Kaneyuki. Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups. Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 535-563. http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a13/
@article{JOLT_2003_13_2_a13,
     author = {Soji Kaneyuki},
     title = {Compactification of {Parahermitian} {Symmetric} {Spaces} and its {Applications.} {II:} {Stratifications} and {Automorphism} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {535--563},
     year = {2003},
     volume = {13},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a13/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

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.