Geometric Weil representation in characteristic two
Representation Theory
2023-08-25 v3 Algebraic Geometry
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 \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.
Cite
@article{arxiv.0906.0698,
title = {Geometric Weil representation in characteristic two},
author = {Alain Genestier and Sergey Lysenko},
journal= {arXiv preprint arXiv:0906.0698},
year = {2023}
}
Comments
LaTeX2e, 49 pages, final version to appear in JIMJ