Open Access
March 2011 Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces
Takayuki Okuda
Proc. Japan Acad. Ser. A Math. Sci. 87(3): 35-39 (March 2011). DOI: 10.3792/pjaa.87.35


We classify semisimple symmetric spaces $G/H$ for which there exist proper $SL(2,\mathbf{R})$-actions via $G$. This leads us to the classification of semisimple symmetric spaces that admit surface groups as discontinuous groups.


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Takayuki Okuda. "Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces." Proc. Japan Acad. Ser. A Math. Sci. 87 (3) 35 - 39, March 2011.


Published: March 2011
First available in Project Euclid: 3 March 2011

zbMATH: 1221.22020
MathSciNet: MR2802605
Digital Object Identifier: 10.3792/pjaa.87.35

Primary: 22F30
Secondary: 22E40 , 53C30 , 53C35 , 57S30

Keywords: nilpotent orbit , proper action , Satake diagram , surface group , Symmetric space , weighted Dynkin diagram

Rights: Copyright © 2011 The Japan Academy

Vol.87 • No. 3 • March 2011
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