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Proper affine actions on semisimple Lie algebras

Published 23 Jun 2014 in math.GR | (1406.5906v2)

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 $\operatorname{Ad} G$ and which is free, nonabelian and acts properly discontinuously on $\mathfrak{g}$.

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