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

被引：4

作者：

Tojo, Koichi ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2019年 / 95卷 / 02期

关键词：

Clifford-Klein form; tangential homogeneous space; symmetric space; properness criterion; discontinuous group; real representation; HOMOGENEOUS SPACES; PROPER ACTIONS; EXISTENCE;

D O I：

10.3792/pjaa.95.11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：11 / 15

页数：5

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