On Semisimple Standard Compact Clifford-Klein Forms

被引：0

作者：

Bochenski, Maciej ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Olsztyn, Poland

来源：

JOURNAL OF LIE THEORY | 2022年 / 32卷 / 03期

关键词：

Homogeneous spaces; proper actions; discrete subgroups; Clifford-Klein forms; SYMMETRIC-SPACES; CLASSIFICATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give the classification of standard compact Clifford-Klein forms corresponding to triples (g, h, l) such that g = h+l and g is a sum of two absolutely simple ideals. The classification is done using Onishchik's results concerning semisimple decompositions of semisimple Lie algebras. Using this classification we obtain new examples of reductive homogeneous spaces admitting non-standard compact Clifford-Klein forms.

引用

页码：813 / 819

页数：7

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