连通李群不一定连续表示的Weyl完全可约定理的一个版本

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

Russian Journal of Mathematical Physics Pub Date : 2023-06-18 DOI:10.1134/S1061920823020115

A. I. Shtern

引用次数: 0

摘要

证明了一般连通李群有限维拟表示的Weyl完全可约定理的一个版本。

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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A Version of the Weyl Complete Reducibility Theorem for Not Necessarily Continuous Representations of Connected Lie Groups

A version of the Weyl complete reducibility theorem for finite-dimensional quasirepresentations of general connected Lie groups is proved.

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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.