The Geometric Weil Representation

@inproceedings{Hadani2008TheGW,
  title={The Geometric Weil Representation},
  author={Ronny Hadani},
  year={2008}
}
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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