Generalized integrable tops related to non-trivial solvable three dimensional Lie algebras

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2025-06-19 DOI:10.1016/j.geomphys.2025.105572

Jinrong Bao

引用次数: 0

Abstract

The goal of this paper is to study and construct analogues of integrable tops related to three dimensional solvable Lie algebras in Bianchi types. We consider the semi-direct products of three dimensional solvable Lie algebras

g

and

R^{3}

with respect to the natural representation. This representation and its dual are not isomorphic, so we discuss them separately. We find some integrable cases with explicit description.

查看原文本刊更多论文

非平凡可解三维李代数的广义可积顶

本文的目的是研究和构造三维可解李代数在Bianchi型上的可积顶的类似物。考虑三维可解李代数g和R3在自然表示下的半直积。这个表示和它的对偶不是同构的，所以我们将它们分开讨论。我们找到了一些具有显式描述的可积情形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity