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Using the adjoint representations of Lie algebras, we classify all Jacobistructures on real two- and three-dimensional Lie groups. Also, we studyJacobi-Lie systems on these real low-dimensional Lie groups. Our results areillustrated through examples of Jacobi-Lie Hamiltonian systems on some realtwo- and three-dimensional Lie groups.

Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems