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Abstract <p> We prove that a topological group admitting a family of irreducible unitary representations in Hilbert spaces that separates the elements of the group and whose continuous irreducible representations are finite-dimensional and of bounded degree is a finite extension of a commutative group having sufficiently many continuous characters. </p> <p> <b> DOI</b> 10.1134/S106192082503015X </p>

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Continuously Irreducibly Representable Groups with Irreducible Representations of Bounded Degree

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • A.I. Shtern

摘要

Abstract

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

DOI 10.1134/S106192082503015X