Proc. Japan Acad. Ser. A Math. Sci. 95 (2), 11-15, (February 2019) DOI: 10.3792/pjaa.95.11
KEYWORDS: Clifford–Klein form, tangential homogeneous space, Symmetric space, properness criterion, discontinuous group, real representation, 22F30, 57S30, 22E46, 53C30, 53C35
We give a classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms. The method uses representation theory over the real number field and the criterion for properness and cocompactness of the action on homogeneous spaces due to T. Kobayashi.