Geometric Weil representation in characteristic two

Details Geometric Weil representation in characteristic two Geometric Weil representation in characteristic two

2009-06-03

arxiv.org/abs/0906.0698v3

Mathematics

Representation Theory

LaTeX2e, 49 pages, final version to appear in JIMJ

Scientific paper

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 \hat G over k, the metaplectic extension of the Greenberg realization of Sp_{2n}(R). We also construct a geometric analog of the Weil representation of \hat G, this is a triangulated category on which \hat G acts by functors. This triangulated category and the action are geometric in a suitable sense.

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