Proper affine actions on semisimple Lie algebras

Abstract

For any noncompact semisimple real Lie group $G$, we construct a group of affine transformations of its Lie algebra $\mathfrak{g}$ whose linear part is Zariski-dense in $\mathrm{Ad}G$ and which is free, nonabelian and acts properly discontinuously on $\mathfrak{g}$.

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-defined

References in corpus (1)

• The Auslander conjecture for dimension less than 7

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