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On the groups of isometries of simple para-Hermitian symmetric spaces
- Source :
- Tsukuba J. Math. 41, no. 1 (2017), 21-40
- Publication Year :
- 2017
- Publisher :
- Institute of Mathematics, University of Tsukuba, 2017.
-
Abstract
- The main purpose in this paper is to completely determine the groups of isometries of simple para-Hermitian symmetric spaces. That enables us to also determine the groups of affine transformations of these spaces, with respect to the canonical affine connections.
- Subjects :
- Hermitian symmetric space
Pure mathematics
real form
Triple system
Simple Lie group
Mathematical analysis
group of isometries
Real form
17B20
hyperbolic orbit type
Hermitian matrix
53C35
Symmetric space
Poincaré group
para-Hermitian symmetric space
Affine transformation
absolutely simple Lie algebra
Mathematics
Subjects
Details
- ISSN :
- 03874982
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- Tsukuba Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....859dfdc694f1be4204df4f8bbdf7b30d