Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution

Luis Gutiérrez Frez, José Pantoja

We construct a complex linear Weil representation $\rho$ of the generalized special linear group $G={\mathrm{SL}}_{\ast }^1(2,A_n)$ ($A_n=K[x]/⟨x^n⟩$, $K$ the quadratic extension…