Arithmetic Groups Have Rational Representation Growth
Group Theory
2008-03-11 v1 Representation Theory
Abstract
Let G be an arithmetic lattice in a semisimple algebraic group over a number field. We show that if G has the congruence subgroup property, then the number of n-dimensional irreducible representations of G grows like n^a, where a is a rational number.
Cite
@article{arxiv.0803.1331,
title = {Arithmetic Groups Have Rational Representation Growth},
author = {Nir Avni},
journal= {arXiv preprint arXiv:0803.1331},
year = {2008}
}