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arXiv · 2607.22021

Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups

A. Poursistani·Gh. Haghighatdoost·J. Abedi-Fardad
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Abstract

In this paper, we classify all six-dimensional real nilpotent Lie bialgebras of symplectic type. The Poisson structures on all of the related six-dimensional Poisson-Lie groups are obtained. Some new integrable Hamiltonian systems for which the Poisson-Lie group plays the role of a phase space and its dual Lie group plays the role of a symmetry group of the system are obtained.

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A. Poursistani, Gh. Haghighatdoost, J. Abedi-Fardad. 2026-07-24. Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups. https://arxiv.org/abs/2607.22021

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