A construction of lattices on certain solvable Lie groups (Q2463875)

The author constructs two solvable Lie groups, \(G_1\) of dimension \(7\) and \(G_2\) of dimension \(4\), admitting lattices \(\Gamma_1\) and \(\Gamma_2\), respectively, by direct computations. It is shown that \(G_1/\Gamma_1\times S^1\) is a symplectic solvmanifold with the hard Lefschetz property and the solvmanifold \(G_2/\Gamma_2\) has a locally conformal Kähler structure but symplectic structure, and moreover the minimal models for these solvmanifolds are formal.