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

共 4 条

[1] Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups
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SBORNIK MATHEMATICS, 2017, 208 (10) : 1557 - 1576
[2] Structure of finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups
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RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2009, 16 (01) : 133 - 138
[3] The structure of homomorphisms of connected locally compact groups into compact groups
Shtern, A. I.
IZVESTIYA MATHEMATICS, 2011, 75 (06) : 1279 - 1304
[4] On finite-dimensional representations of finite W-superalgebras
Xiao, Husileng
SCIENCE CHINA-MATHEMATICS, 2023, 66 (08) : 1737 - 1750

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