Chevalley groups over $\mathbb{Z}$: A representation-theoretic approach

Abid Ali, Lisa Carbone, Scott H. Murray

Let $G(\mathbb{Q})$ be a simply connected Chevalley group over $\mathbb{Q}$ corresponding to a simple Lie algebra $\mathfrak{g}$ over $\mathbb{C}$. Let $V$ be a finite dimensional f…