Continuity conditions for finite-dimensional representations of connected locally compact groups

被引：0

作者：

Shtern, A. I. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119991, Russia

[2] Russian Acad Sci, Inst Syst Res VNIISI, Moscow 117312, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 19卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

THEOREM; VAN;

D O I：

10.1134/S1061920812040097

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain simple necessary and sufficient conditions for the continuity of a locally bounded finite-dimensional representation of a connected locally compact group. We also prove that the discontinuity group of a locally bounded finite-dimensional representation of a connected locally compact group is a central subgroup in the closure of the image.

引用

页码：499 / 501

页数：3

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