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Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems
Theoretical and Mathematical Physics ( IF 1 ) Pub Date : 2020-11-01 , DOI: 10.1134/s004057792011001x
H. Amirzadeh-Fard , G. Haghighatdoost , P. Kheradmandynia , A. Rezaei-Aghdam

Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and three-dimensional Lie groups. Also, we study Jacobi-Lie systems on these real low-dimensional Lie groups. Our results are illustrated through examples of Jacobi-Lie Hamiltonian systems on some real two- and three-dimensional Lie groups.

中文翻译:

实二维和三维李群上的雅可比结构及其雅可比-李系统

使用李代数的伴随表示,我们对真实二维和三维李群上的所有雅可比结构进行分类。此外,我们在这些真实的低维李群上研究雅可比-李系统。我们的结果通过一些真实的二维和三维李群上的雅可比-李哈密顿系统的例子来说明。
更新日期:2020-11-01
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