Classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Koichi Tojo¹ 

[1] Graduate School of Mathematical Science, The University of Tokyo

关键词: Clifford–Klein form;    tangential homogeneous space;    symmetric space;    properness criterion;    discontinuous group;    real representation.;   

DOI  :  10.3792/pjaa.95.11

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown