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Proper affine actions on semisimple Lie algebras

Abstract

For any noncompact semisimple real Lie group GG, we construct a group of affine transformations of its Lie algebra g\mathfrak{g} whose linear part is Zariski-dense in AdG\operatorname{Ad} G and which is free, nonabelian and acts properly discontinuously on g\mathfrak{g}.Comment: Section 3 of this paper draws heavily on the section 3 from my earlier paper arXiv:1303.3766 This is the version that appeared in Geometriae Dedicata. I have corrected some mistakes, added a few examples and added a proof that the Margulis invariant is well-define

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