Measure rigidity for solvable group actions in the space of lattices

Manfred Einsiedler, Ronggang Shi

We study invariant probability measures on the homogeneous space ${\mathrm{SL}}_n(\mathbb{R})/{\mathrm{SL}}_n(\mathbb{Z})$ for the action of subgroups of ${\mathrm{SL}}_n(\mathbb{R})$ of th…