Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces
Okuda, Takayuki
Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, p. 35-39 / Harvested from Project Euclid
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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.
Publié le : 2011-03-15
Classification:  Proper action,  symmetric space,  surface group,  nilpotent orbit,  weighted Dynkin diagram,  Satake diagram,  22F30,  22E40,  53C30,  53C35,  57S30 
@article{1299161393,
     author = {Okuda, Takayuki},
     title = {Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {87},
     number = {1},
     year = {2011},
     pages = { 35-39},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1299161393}
}

Okuda, Takayuki. Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces. Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, pp.  35-39. http://gdmltest.u-ga.fr/item/1299161393/