3 papers
math-ph2026
Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups
A. Poursistani, Gh. Haghighatdoost, J. Abedi-Fardad
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…
math-ph2018
Exchanging role of the phase space and symmetry group of integrable Hamiltonian systems related to Lie bialgebras of bi-symplectic types
J. Abedi-Fardad, A. Rezaei-Aghdam, Gh. Haghighatdoost
We construct integrable Hamiltonian systems with Lie bialgebras of the bi-symplectic type for which the Poisson-Lie groups play the role of…
math.SG2016
Some compatible Poisson structures and integrable bi-Hamiltonian systems on four dimensional and nilpotent six dimensional symplectic real Lie groups
J. Abedi-Fardad, A. Rezaei-Aghdam, Gh. Haghighatdoost
We provide an alternative method for obtaining of compatible Poisson structures on Lie groups by means of the adjoint representations of Lie algebras. In this way, we calculate som…