## Proceedings of the Japan Academy, Series A, Mathematical Sciences

### Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces

Takayuki Okuda

#### Abstract

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.

#### Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 87, Number 3 (2011), 35-39.

Dates
First available in Project Euclid: 3 March 2011

https://projecteuclid.org/euclid.pja/1299161393

Digital Object Identifier
doi:10.3792/pjaa.87.35

Mathematical Reviews number (MathSciNet)
MR2802605

Zentralblatt MATH identifier
1221.22020

#### Citation

Okuda, Takayuki. Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces. Proc. Japan Acad. Ser. A Math. Sci. 87 (2011), no. 3, 35--39. doi:10.3792/pjaa.87.35. https://projecteuclid.org/euclid.pja/1299161393

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