On the Structure of Coset \(n\)-Valued Topological Groups on \(S^3\) and \(\mathbb{R}P^3\)

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI:10.1134/S0016266323010070

D. V. Gugnin

引用次数: 0

Abstract

Three-dimensional manifolds carrying the structure of \(n\)-valued coset topological groups originating from the Lie groups \(Sp(1)\) and \(SO(3)\) are classified.

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关于\(S^3\)和上的陪集\(n\)值拓扑群的结构 \(\mathbb{R}P^3\)

从李群\(Sp(1)\)和\(SO(3)\)出发，对携带\(n\) -值协集拓扑群结构的三维流形进行了分类。

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

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.