$U$-Operators Acting on Harmonic Cocycles for ${\mathrm{GL}}_3$ and Their Slopes

Gebhard Boeckle, Peter Mathias Graef, Theresa Kaiser

In this article, we describe a computational study of the action of the two natural $U$-operators acting on $\Gamma$-invariant spaces of harmonic cocycles for ${\mathrm{GL}}_3$ for certai…