The Geometric Weil Representation

Details The Geometric Weil Representation The Geometric Weil Representation

2006-10-27

arxiv.org/abs/math/0610818v2

Mathematics

Representation Theory

A remark due to Ofer Gabber added (page 12). Accepted for publication (Selecta, December 2006)

Scientific paper

In this paper we construct a geometric analogue of the Weil representation
over a finite field. Our construction is principally invariant, not choosing
any specific realization. This eliminates most of the unpleasant formulas that
appear in the traditional (non-invariant) approaches, and puts in the forefront
some delicate geometric phenomena which underlie this representation.

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