紧凑李群的几乎无多重性子群与亚黎曼大地流的多项式可积分性

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-01-06 DOI:10.1007/s11005-023-01757-w

Božidar Jovanović, Tijana Šukilović, Srdjan Vukmirović

引用次数: 0

摘要

我们对紧凑简单李群 G 的几乎无多重性子群 K 进行了分类。这个问题与左不变度量的黎曼和亚黎曼大地流的可积分性有关，左不变度量是由\(T^*K\)到\(T^*G\)的可积分系统的特定扩展定义的。

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Almost multiplicity free subgroups of compact Lie groups and polynomial integrability of sub-Riemannian geodesic flows

We classify almost multiplicity free subgroups K of compact simple Lie groups G. The problem is related to the integrability of Riemannian and sub-Riemannian geodesic flows of left-invariant metrics defined by a specific extension of integrable systems from \(T^*K\) to \(T^*G\).

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.