Proper actions of $SL(2,mathbb{R})$ on $SL(n,mathbb{R})$ -- homogeneous spaces

Journal of Mathematical Sciences

Teduka, Katsuki¹ 

关键词: proper action;    homogeneous space;    reductive group;    properly discontinuous action;    Fuchs group;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Thispapergivesanecessaryandsufficientconditionforthehomogeneousspacesof$SL(n,mathbb{R})$toadmitproperactionsof$SL(2,mathbb{R})$,orequivalently,toadmitaninfinitediscontinuousgroupgeneratedbyaunipotentelement.ThemethodofourproofisbasedonKobayashi'scriterionforproperactionsonhomogeneousspacesofreductivetype.

【 授权许可】

Unknown