连通局部紧群根上的酉字到群的一维纯伪表示的推广

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-02-09 DOI:10.1134/S1061920824040149

A.I. Shtern

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引用次数: 0

摘要

证明了连通局部紧群的根上的普通酉字可以扩展到该群的局部有界的最终预连续的一维纯伪表示的充分必要条件。DOI 10.1134 / S1061920824040149

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Extension of Unitary Characters from the Radical of a Connected Locally Compact Group to a One-Dimensional Pure Pseudorepresentation of the Group

We prove necessary and sufficient conditions that an ordinary unitary character on the radical of a connected locally compact group admits an extension to a locally bounded finally precontinuous one-dimensional pure pseudorepresentation of the group.

DOI 10.1134/S1061920824040149

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.