Some Remarks on Projective Representations of Compact Groups and Frames

IF 1.1 4区数学 Q1 MATHEMATICS

Communications in Mathematics and Statistics Pub Date : 2024-05-11 DOI:10.1007/s40304-023-00381-3

Chuangxun Cheng, Guilin Li

引用次数: 0

Abstract

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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关于紧凑群和框架的投影表示的一些评论

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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来源期刊

Communications in Mathematics and Statistics Mathematics-Statistics and Probability

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： Communications in Mathematics and Statistics is an international journal published by Springer-Verlag in collaboration with the School of Mathematical Sciences, University of Science and Technology of China (USTC). The journal will be committed to publish high level original peer reviewed research papers in various areas of mathematical sciences, including pure mathematics, applied mathematics, computational mathematics, and probability and statistics. Typically one volume is published each year, and each volume consists of four issues.