Spectral Separation and Eigenvalue Labelling for Polynomial Tensor Representations of General Linear Groups

Dang Vo Phuc

Let $q=p^f$ be a prime power, $H\le {\mathrm{GL}}_d(q)$ a subgroup containing a genuine Singer cycle $s$ of order $q^d-1$, and $W$ an ${\mathbb{F}}_{q}H$-module whose scalar extension…