The geometric Weil representation

• Shamgar Gurevich ^[2] ; Ronny Hadani ^[1]
  1. [1] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
  2. [2] University of California
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 13, Nº. 3, 2007, págs. 465-481
• Idioma: inglés
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• Resumen

  • 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.