连通李群局部有界同态成连通李群的不连续群是可交换的

IF 1.7 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL Russian Journal of Mathematical Physics Pub Date : 2023-09-05 DOI:10.1134/S106192082303010X
A. I. Shtern
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引用次数: 0

摘要

证明了李群的每一个局部有界同态的不连续群不仅是紧连通的,而且是可交换的。
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The Discontinuity Group of a Locally Bounded Homomorphism of a Connected Lie Group into a Connected Lie Group Is Commutative

We prove that the discontinuity group of every locally bounded homomorphism of a Lie group into a Lie group is not only compact and connected, which is known, but also commutative.

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来源期刊
Russian Journal of Mathematical Physics
Russian Journal of Mathematical Physics 物理-物理:数学物理
CiteScore
3.10
自引率
14.30%
发文量
30
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.
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