Extension of Characters from the Radical of a Connected Lie Group to a One-Dimensional Pure Pseudorepresentation of the Group Revisited

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

Russian Journal of Mathematical Physics Pub Date : 2024-03-19 DOI:10.1134/S106192084010126

A.I. Shtern

引用次数: 0

Abstract

Investigations concerning the extension of characters on normal subgroups to one-dimensional pure pseudorepresentations of the enveloping groups are continued. We prove necessary and sufficient conditions that an ordinary unitary character on the radical of a connected Lie group admits an extension to a one-dimensional pure pseudorepresentation of the group and prove the uniqueness of this pure pseudorepresentation if it exists.

DOI 10.1134/S106192084010126

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从连通李群的辐射到该群的一维纯伪表示的字符扩展再探讨

摘要继续研究关于正则子群上的特征扩展到包络群的一维纯伪表示的问题。我们证明了连通李群的基上的普通单元特征允许扩展到该群的一维纯假表示的必要条件和充分条件，并证明了如果存在这种纯假表示的唯一性。 doi 10.1134/s106192084010126

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.