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AbstractWe 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.doi:10.2478/s11533-014-0428-8 fatcat:yfe4armz6vb3roaqizmibzdqxe