On uniform lattices in real semisimple groups
Representation Theory
2015-09-16 v2 Functional Analysis
Number Theory
Abstract
In this article we prove that the co-compactness of the arithmetic lattices in a connected semisimple real Lie group is preserved if the lattices under consideration are representation equivalent. This is in the spirit of the question posed by Gopal Prasad and A. S. Rapinchuk where instead of representation equivalence, the lattices under consideration are weakly commensurable Zariski dense subgroups.
Cite
@article{arxiv.1507.00653,
title = {On uniform lattices in real semisimple groups},
author = {Chandrasheel Bhagwat and Supriya Pisolkar},
journal= {arXiv preprint arXiv:1507.00653},
year = {2015}
}
Comments
7 pages, Revised version