Geometric Weil representation in characteristic two
Abstract
Let k be an algebraically closed field of characteristic two. Let R be the ring of Witt vectors of length two over k. We construct a group stack G over k, the metaplectic extension of the Greenberg realization of Sp2n(R). We also construct a geometric analog of the Weil representation of G, this is a triangulated category on which G acts by functors. This triangulated category and the action are geometric in a suitable sense.
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