Weil representations of $U(n,n)({\mathbb{F}}_{q^2}/{\mathbb{F}}_q)$, $q>3$ odd via presentation and compatibility of methods

Luis Gutiérrez Frez, Andrea Vera-Gajardo

In this article we construct Weil representations of quasi-split unitary groups $U(n,n)({\mathbb{F}}_{q^2}/{\mathbb{F}}_q)$ associated to quadratic extensions of finite fields. We defi…