Base Change and Representation Growth
Nir Avni, Benjamin Klopsch, Uri Onn, Christopher Voll · arXiv (Cornell University) · 2011
We relate the asymptotic behaviors of the number of irreducible representations of an arithmetic lattice and its extension of scalars, assuming both satisfy the weak Congruence Subgroup Property. More precisely, we show that the degree of polynomial growth is unchanged by extension of scalars. As a corollary, we prove a conjecture of Larsen and Lubotzky.