A reverse engineering approach to the Weil representation

Anne-Marie Aubert, Tomasz Przebinda
2014 Open Mathematics  
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