Geometric classification of semidirect products in the maximal parabolic subgroup of $\mathrm{Sp}(2,\mathbb{R})$

Filippo De Mari, Ernesto De Vito, Stefano Vigogna

We classify up to conjugation by $\mathrm{GL}(2,\mathbb{R})$ (more precisely, block diagonal symplectic matrices) all the semidirect products inside the maximal parabolic of…