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.
arXiv Mathematics e-prints
- Pub Date:
- October 2006
- Mathematics - Representation Theory;
- Mathematics - Algebraic Geometry;
- Quantum Physics
- A remark due to Ofer Gabber added (page 12). Accepted for publication (Selecta, December 2006)