Weil Representations of Symplectic Groups over Non-Principal Rings
Weil Representations of Symplectic Groups over Non-Principal Rings
Let W : Sp(2n, R) → GL (X) be a Weil representation of the symplectic group of rank 2n over a finite commutative ring R of odd characteristic.This is a complex representation of degree |R| n defined in terms of the action of Sp (2n, R) on a two-step nilpotent …