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arXiv · 1605.03833

Proper affine actions in non-swinging representations

Ilia Smilga
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Abstract

For a semisimple real Lie group $G$ with an irreducible representation $\rho$ on a finite-dimensional real vector space $V$, we give a sufficient criterion on $\rho$ for existence of a group of affine transformations of $V$ whose linear part is Zariski-dense in $\rho(G)$ and that is free, nonabelian and acts properly discontinuously on $V$.

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Ilia Smilga. 2016-05-12. Proper affine actions in non-swinging representations. https://doi.org/10.4171/ggd%2F447

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