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Consider an arithmetic group $\mathbf{G}(O_S)$, where $\mathbf{G}$ is anaffine group scheme with connected, simply connected absolutely almost simplegeneric fiber, defined over the ring of $S$-integers $O_S$ of a number field$K$ with respect to a finite set of places $S$. For each $n \in \mathbb{N}$,let $R_n(\mathbf{G}(O_S))$ denote the number of irreducible complexrepresentations of $\mathbf{G}(O_S)$ of dimension at most $n$. The degree ofrepresentation growth $\alpha(\mathbf{G}(O_S)) = \lim_{n \rightarrow \infty}\log R_n(\mathbf{G}(O_S)) / \log n$ is finite if and only if $\mathbf{G}(O_S)$has the weak Congruence Subgroup Property.  We establish that for every $\mathbf{G}(O_S)$ with the weak CongruenceSubgroup Property the invariant $\alpha(\mathbf{G}(O_S))$ is already determinedby the absolute root system of $\mathbf{G}$. To show this we demonstrate thatthe abscissae of convergence of the representation zeta functions of suchgroups are invariant under base extensions $K \subset L$. We deduce from ourresult a variant of a conjecture of Larsen and Lubotzky regarding therepresentation growth of irreducible lattices in higher rank semi-simplegroups. In particular, this reduces Larsen and Lubotzky's conjecture to Serre'sconjecture on the weak Congruence Subgroup Property, which it refines.

Arithmetic groups, base change, and representation growth