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The geometric Weil representation

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Abstract.

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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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, CA, 94720-3840, USA

    Shamgar Gurevich

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Ronny Hadani

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  1. Shamgar Gurevich
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  2. Ronny Hadani
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Correspondence to Shamgar Gurevich.

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Gurevich, S., Hadani, R. The geometric Weil representation. Sel. math., New ser. 13, 465 (2008). https://doi.org/10.1007/s00029-007-0047-3

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  • DOI: https://doi.org/10.1007/s00029-007-0047-3

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