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.
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页码：499 / 501
页数：3
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