Scholarlink

Abstract <p> We prove that a topological group whose family of continuous indecomposable representations in finite-dimensional spaces separates the elements of the group and whose continuous indecomposable representations are of bounded degree is a finite extension of a commutative group having sufficiently many continuous characters. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Continuously Representable Topological Groups with Indecomposable Representations of Bounded Degree

  • 期刊论文

  • 发表日期：

    2026年3月27日

查看全文
  • A.I. Shtern

摘要

Abstract

We prove that a topological group whose family of continuous indecomposable representations in finite-dimensional spaces separates the elements of the group and whose continuous indecomposable representations are of bounded degree is a finite extension of a commutative group having sufficiently many continuous characters.