The Weil representation in characteristic two

Abstract

In this paper we construct a new variant of the Weil representation, associated with a symplectic vector space (V, ω) defined over a finite field of characteristic two. Our variant is a representation ρ : AMp (V ) → GL (H), where the group AMp (V ) is the fourth cover of a group ASp (V ) which is a non-trivial extension of the symplectic group Sp (V ) by… (More)

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