Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups
Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 535-563
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.
@article{JOLT_2003_13_2_a13,
author = {S. 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},
doi = {10.5802/jolt.319},
zbl = {1119.32301},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.319/}
}
TY - JOUR AU - S. Kaneyuki TI - Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups JO - Journal of Lie Theory PY - 2003 SP - 535 EP - 563 VL - 13 IS - 2 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.319/ DO - 10.5802/jolt.319 ID - JOLT_2003_13_2_a13 ER -
%0 Journal Article %A S. Kaneyuki %T Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups %J Journal of Lie Theory %D 2003 %P 535-563 %V 13 %N 2 %U https://jolt.centre-mersenne.org/articles/10.5802/jolt.319/ %R 10.5802/jolt.319 %F JOLT_2003_13_2_a13
S. Kaneyuki. Compactification of Parahermitian Symmetric Spaces and its Applications. II: Stratifications and Automorphism Groups. Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 535-563. doi: 10.5802/jolt.319
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