Proper affine actions on semisimple Lie algebras
Group Theory
2016-05-13 v2
Abstract
For any noncompact semisimple real Lie group , we construct a group of affine transformations of its Lie algebra whose linear part is Zariski-dense in and which is free, nonabelian and acts properly discontinuously on .
Cite
@article{arxiv.1406.5906,
title = {Proper affine actions on semisimple Lie algebras},
author = {Ilia Smilga},
journal= {arXiv preprint arXiv:1406.5906},
year = {2016}
}
Comments
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