关于紧凑群和框架的投影表示的一些评论

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-11 DOI:10.1007/s40304-023-00381-3

Chuangxun Cheng, Guilin Li

引用次数: 0

摘要

在本文中，我们从紧凑群的射影表示出发，研究具有对称性的连续框架。特别是，我们详细研究了最大跨向量，并通过维数计算方法证明了紧凑无性群不可还原射影表示的最大跨向量的存在性。

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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Some Remarks on Projective Representations of Compact Groups and Frames

In this paper, we study continuous frames with symmetries from projective representations of compact groups. In particular, we study maximal spanning vectors in detail and we prove the existence of maximal spanning vectors for irreducible projective representations of compact abelian groups by a dimension counting method.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.