For a semisimple real Lie group with an irreducible representation on a finite-dimensional real vector space , we give a sufficient criterion on for existence of a group of affine transformations of whose linear part is Zariski-dense in and that is free, nonabelian and acts properly discontinuously on .
Cite this article
Ilia Smilga, Proper affine actions in non-swinging representations. Groups Geom. Dyn. 12 (2018), no. 2, pp. 449–528DOI 10.4171/GGD/447