A non-homogeneous orbit of a diagonal subgroup
Dynamical Systems
2008-08-28 v2
Abstract
Let G=SL(n,R) with n>5. We construct examples of lattices Gamma of G, subgroup A of the diagonal group and points x in G/Gamma such that the closure of the orbit Ax is not homogeneous but does not factors through the action of a one-parameter non-unipotent group. This contradicts a conjecture of Margulis.
Keywords
Cite
@article{arxiv.0707.2920,
title = {A non-homogeneous orbit of a diagonal subgroup},
author = {François Maucourant},
journal= {arXiv preprint arXiv:0707.2920},
year = {2008}
}