On invariant fields of vectors and covectors

Yin Chen, David L. Wehlau

Let ${\mathbb{F}}_q$ be the finite field of order $q$. Let $G$ be one of the three groups $\mathrm{GL}(n,{\mathbb{F}}_q)$, $\mathrm{SL}(n,{\mathbb{F}}_q)$ or $\mathrm{U}(n,{\mathbb{F}}_q)$ a…