Journal of Lie Theory EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 13, No. 2, pp. 535--563 (2003)

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Compactification of Parahermitian Symmetric Spaces and its Applications, II: Stratifications and Automorphism Groups

Soji Kaneyuki

Soji Kaneyuki
Department of Mathematics
Nihon Institute of Technology
Miyashiro-cho, Saitama
345-8501 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.

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Electronic version published on: 26 May 2003. This page was last modified: 14 Aug 2003.

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