Classification of multiplicity free quasi-Hamiltonian manifolds

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-03-26 DOI:10.4310/pamq.2024.v20.n1.a10

Friedrich Knop

引用次数: 0

Abstract

A quasi-Hamiltonian manifold is called multiplicity free if all of its symplectic reductions are $0$-dimensional. In this paper, we classify compact, multiplicity free, twisted quasi-Hamiltonian manifolds for simply connected, compact Lie groups. Thereby, we recover old and find new examples of these structures.

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无多重性准哈密顿流形的分类

如果一个准哈密顿流形的所有交映还原都是 $0$维，那么这个流形就被称为无多重性流形。在本文中，我们对简单相连的紧凑李群的紧凑、无多重性、扭曲准哈密顿流形进行了分类。由此，我们恢复了这些结构的旧例并找到了新例。

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

Pure and Applied Mathematics Quarterly 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： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.