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A reverse engineering approach to the Weil representation

  • Research Article
  • Published:
Central European Journal of Mathematics

Abstract

We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.

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Authors and Affiliations

  1. I.M.J.-P.R.G. (U.M.R. 7586 du C.N.R.S.), Université Pierre et Marie Curie, 4 place Jussieu, 75005, Paris, France

    Anne-Marie Aubert

  2. Department of Mathematics, University of Oklahoma, Norman, OK, 73019, USA

    Tomasz Przebinda

Authors
  1. Anne-Marie Aubert
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  2. Tomasz Przebinda
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Correspondence to Anne-Marie Aubert.

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Aubert, AM., Przebinda, T. A reverse engineering approach to the Weil representation. centr.eur.j.math. 12, 1500–1585 (2014). https://doi.org/10.2478/s11533-014-0428-8

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  • DOI: https://doi.org/10.2478/s11533-014-0428-8

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