Arithmeticity vs. non-linearity for irreducible lattices
Group Theory
2012-07-10 v1
Abstract
We establish an arithmeticity vs. non-linearity alternative for irreducible lattices in suitable product groups, such as for instance products of topologically simple groups. This applies notably to a (large class of) Kac-Moody groups. The alternative relies on a CAT(0) superrigidity theorem, as we follow Margulis' reduction of arithmeticity to superrigidity.
Keywords
Cite
@article{arxiv.math/0407083,
title = {Arithmeticity vs. non-linearity for irreducible lattices},
author = {Nicolas Monod},
journal= {arXiv preprint arXiv:math/0407083},
year = {2012}
}
Comments
11 pages